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mmend98

  • one year ago

The development studio behind the newest video game, Super Ostrich Racers, needs your help. Super Ostrich Racers is an exciting, fast-paced adventure game where your ostrich runs through 20 different levels while collecting coins. They need you to develop the number of coins and points for each level and provide data for the programming team. Create the data to fill in the tables below. The Coins table must be an arithmetic sequence and the Points table must be a geometric sequence. The common difference or ratio cannot equal 1 or 0. Provide reasons and justification of how you know the Co

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  1. mmend98
    • one year ago
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    @ganeshie8

  2. mmend98
    • one year ago
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    Create the data to fill in the tables below. The Coins table must be an arithmetic sequence and the Points table must be a geometric sequence. The common difference or ratio cannot equal 1 or 0. Provide reasons and justification of how you know the Coins sequence you created is arithmetic and how you know the Points sequence is geometric. Level Coins 1 2 3 Level Points 1 2 3 Planning is crucial in the early stages of this project. Demonstrate how a recursive process will allow you to find the number of coins and points on all levels up to level 5. The development team has asked you to jump ahead of them in the project. Create the sequence formulas, an, for the coins and the points based on the level in the game. Then describe how the formula can be used to find the coins and values on level 15. Use complete sentences. If the game only has 20 levels, explain how to find the value of the series for the coins and the points. Use complete sentences and arrive at final values. The programming team needs to understand the parameters for the game, in order to start coding it. Explain any restrictions to the domain and range of your sequences

  3. mmend98
    • one year ago
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    this is what I have so far I need help on question 4 and question 5

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  4. ganeshie8
    • one year ago
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    lets fix the mistakes in parts 1-3 first

  5. mmend98
    • one year ago
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    ok

  6. ganeshie8
    • one year ago
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    In part 1, below highlighted word should be "difference" right ? because "ratio" for an arithmetic sequence makes no sense |dw:1439525121495:dw|

  7. mmend98
    • one year ago
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    k fixed it

  8. mmend98
    • one year ago
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    what is next

  9. ganeshie8
    • one year ago
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    good, lets see part 2

  10. mmend98
    • one year ago
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    k

  11. mmend98
    • one year ago
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    Is part 2 all correct?

  12. ganeshie8
    • one year ago
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    nope, it is totally wrong

  13. mmend98
    • one year ago
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    dang haha

  14. ganeshie8
    • one year ago
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    you're correct about the recursive formulas but the numbers are wrong

  15. mmend98
    • one year ago
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    okay

  16. ganeshie8
    • one year ago
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    |dw:1439525341712:dw|

  17. ganeshie8
    • one year ago
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    where does that \(9\) come from ?

  18. mmend98
    • one year ago
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    let me see

  19. mmend98
    • one year ago
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    I honestly don't know haha

  20. ganeshie8
    • one year ago
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    |dw:1439525998794:dw|

  21. mmend98
    • one year ago
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    its so hard to write these formulas on pages so is there anyway i could change my arithmetic series column to match this

  22. mmend98
    • one year ago
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    I changed them to 3,6,9

  23. mmend98
    • one year ago
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    and 2 4 8

  24. ganeshie8
    • one year ago
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    Ahh okay, please attach the updated pdf so that it will be less confusing

  25. mmend98
    • one year ago
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    kk

  26. mmend98
    • one year ago
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  27. mmend98
    • one year ago
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    @ganeshie8

  28. ganeshie8
    • one year ago
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    parts 1,2,3 look okay now but your teacher can easily guess that you have copy pasted that stuff from internet

  29. ganeshie8
    • one year ago
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    |dw:1439526431634:dw|

  30. ganeshie8
    • one year ago
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    you seriously need to rephrase that into ur own words

  31. mmend98
    • one year ago
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    ok

  32. mmend98
    • one year ago
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    just completed that

  33. ganeshie8
    • one year ago
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    okay good, whats the part 4 ?

  34. mmend98
    • one year ago
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    i havent completed it yet. let me attach the question

  35. ganeshie8
    • one year ago
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    can you copy paste only the part 4 question here

  36. mmend98
    • one year ago
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    If the game only has 20 levels, explain how to find the value of the series for the coins and the points. Use complete sentences and arrive at final values.

  37. ganeshie8
    • one year ago
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    remember, the word `series` refers to `sum`

  38. mmend98
    • one year ago
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    ok

  39. ganeshie8
    • one year ago
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    so basically you need to find the sum of first 20 terms

  40. ganeshie8
    • one year ago
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    look up your notes for "sum" formulas of arithmetic series and geometric series

  41. mmend98
    • one year ago
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    do i use this formula ?

  42. ganeshie8
    • one year ago
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    yes, what formula ?

  43. mmend98
    • one year ago
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  44. ganeshie8
    • one year ago
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    there is another formula, look it up

  45. mmend98
    • one year ago
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    this one

  46. mmend98
    • one year ago
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  47. ganeshie8
    • one year ago
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    nope

  48. mmend98
    • one year ago
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    haha which one do i use. do i use the same formula for question 3?

  49. ganeshie8
    • one year ago
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    for arithmetic series, it should look something like below : \[S_n = \dfrac{n}{2}[2a+(n-1)d]\]

  50. mmend98
    • one year ago
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    ahh how do i put my numbers into this

  51. mmend98
    • one year ago
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    if u don't mind putting them in i will calculate

  52. ganeshie8
    • one year ago
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    do you know that exactly are we finding here ?

  53. mmend98
    • one year ago
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    what?

  54. mmend98
    • one year ago
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    we are trying to find the value of the series for the coins and the point

  55. ganeshie8
    • one year ago
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    we want to find below sum : \[3+6+9+\cdots (\text{upto 20 terms})\]

  56. ganeshie8
    • one year ago
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    whats the first term ?

  57. mmend98
    • one year ago
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    correct

  58. mmend98
    • one year ago
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    the first term is 3

  59. ganeshie8
    • one year ago
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    so \(a=3\)

  60. ganeshie8
    • one year ago
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    whats the common difference ?

  61. mmend98
    • one year ago
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    3

  62. ganeshie8
    • one year ago
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    so \(d=3\)

  63. ganeshie8
    • one year ago
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    how many terms are there in the sum ?

  64. mmend98
    • one year ago
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    20

  65. ganeshie8
    • one year ago
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    so \(n=20\) plug them in the formula, the formula gives you the sum

  66. mmend98
    • one year ago
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    ok let me calculate real quick

  67. ganeshie8
    • one year ago
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    \[S_n = \dfrac{n}{2}[2a+(n-1)d]\] \[S_{20} = \dfrac{20}{2}[2*3+(20-1)*3]\]

  68. mmend98
    • one year ago
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    s20=7.5?

  69. mmend98
    • one year ago
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    sorry one sec

  70. mmend98
    • one year ago
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    haha 750

  71. mmend98
    • one year ago
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    s20=750?

  72. ganeshie8
    • one year ago
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    try again

  73. mmend98
    • one year ago
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    3420

  74. mmend98
    • one year ago
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    geez

  75. mmend98
    • one year ago
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    i think thats correct @ganeshie8

  76. mmend98
    • one year ago
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    how do i change that formula for geometric series @ganeshie8

  77. ganeshie8
    • one year ago
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    time to burn ur calculator

  78. ganeshie8
    • one year ago
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    \[S_n = \dfrac{n}{2}[2a+(n-1)d]\] \[S_{20} = \dfrac{20}{2}[2*3+(20-1)*3]\] wolfram says that evaluates to 630 http://www.wolframalpha.com/input/?i=+%5Cdfrac%7B20%7D%7B2%7D%5B2*3%2B%2820-1%29*3%5D

  79. mmend98
    • one year ago
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    okay now what is the formula for geometric

  80. ganeshie8
    • one year ago
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    look up in your notes for "partial sum of geometric series formula"

  81. mmend98
    • one year ago
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    this it?

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  82. mmend98
    • one year ago
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    i am sorry for my slowness i just really am trying to get this done

  83. ganeshie8
    • one year ago
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    nope, use this : \[S_n = a_1\dfrac{r^n-1}{r-1}\] where \(a_1\) = first term \(r\) = common ratio \(n\) = number of terms

  84. mmend98
    • one year ago
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    okay so how would i plug this in

  85. mmend98
    • one year ago
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    what would m common ratio be

  86. ganeshie8
    • one year ago
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    |dw:1439528427488:dw|

  87. mmend98
    • one year ago
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    k

  88. ganeshie8
    • one year ago
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    plug them in and evaluate

  89. mmend98
    • one year ago
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    okay.

  90. mmend98
    • one year ago
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    Sn=2 (2^20-1)/(2-1)?

  91. mmend98
    • one year ago
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    i don't think i plugged it in right lol

  92. mmend98
    • one year ago
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    my answer was outrageous

  93. ganeshie8
    • one year ago
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    what do you get ?

  94. ganeshie8
    • one year ago
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    outrageous number for the sum is expected because this is a geometric series grows super fast

  95. mmend98
    • one year ago
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    2,097,150

  96. ganeshie8
    • one year ago
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    Perfect!

  97. mmend98
    • one year ago
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    yes okay great.

  98. mmend98
    • one year ago
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    I have question 5 now then i am done

  99. mmend98
    • one year ago
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    The programming team needs to understand the parameters for the game, in order to start coding it. Explain any restrictions to the domain and range of your sequences.

  100. ganeshie8
    • one year ago
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    for restrictions on domain, look at first column |dw:1439528857139:dw|

  101. ganeshie8
    • one year ago
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    what numbers are allowed in that column ?

  102. ganeshie8
    • one year ago
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    can you have 1.5 ?

  103. mmend98
    • one year ago
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    no

  104. ganeshie8
    • one year ago
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    or -2 ?

  105. mmend98
    • one year ago
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    no

  106. mmend98
    • one year ago
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    so how would i express that as my answer

  107. ganeshie8
    • one year ago
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    domain is all the "inputs" that are allowed for the function to eat so whats the domain in our problem ?

  108. mmend98
    • one year ago
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    the domain is 1,23,..?

  109. mmend98
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    There would be no restriction on the range. The domain for the points would be andy integer that is greater than or equal to 1, like 1,2,3,4,5,..etc.

  110. mmend98
    • one year ago
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    would this work for my answer ? @ganeshie8

  111. ganeshie8
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    Looks good! the domain is all positive integers : 1, 2, 3, 4, 5,...

  112. ganeshie8
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    |dw:1439529213392:dw|

  113. mmend98
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    okay we are finished ! There would be no restriction on the range. The domain for the points would be any positive integer that is greater than or equal to 1, like 1,2,3,4,5,..etc.

  114. mmend98
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    Right?

  115. ganeshie8
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    there are rstrictions on range too

  116. mmend98
    • one year ago
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    dang it

  117. mmend98
    • one year ago
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    what are they haha

  118. ganeshie8
    • one year ago
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    restrctions for range of arithmetic sequence : |dw:1439529300043:dw|

  119. mmend98
    • one year ago
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    what does that mean

  120. ganeshie8
    • one year ago
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    range is also positive integers, for arithmetic sequences the range is only the multiples of 3 for geometric sequence the range is only the powers of 2

  121. ganeshie8
    • one year ago
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    please attach the updated the pdf if you want me check

  122. mmend98
    • one year ago
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    k

  123. mmend98
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  124. mmend98
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    here it is @ganeshie8

  125. ganeshie8
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    Looks okay!

  126. mmend98
    • one year ago
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    thanks i really appreciate you.. life saver

  127. ganeshie8
    • one year ago
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    yw

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