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helpmeplz311 Group Title

How to Work out the nth term in the sequences below? http://s1274.beta.photobucket.com/user/hmp311/media/7778AD32-3261-48EB-BA9D-119F07AA70C8-1004-00000419CAFB720A_zpsaf8eeb58.jpg.html?sort=3&o=0 Note: I keep asking this and I get a formula: nth term = dn + (a - d)

  • 2 years ago
  • 2 years ago

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  1. helpmeplz311 Group Title
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    @lgbasallote @nincompoop

    • 2 years ago
  2. helpmeplz311 Group Title
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    Please help:(

    • 2 years ago
  3. lgbasallote Group Title
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    what exactly are you asking?

    • 2 years ago
  4. lgbasallote Group Title
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    sequence of what?

    • 2 years ago
  5. helpmeplz311 Group Title
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    I dont undersyand how to create a formula.

    • 2 years ago
  6. helpmeplz311 Group Title
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    The worksheet is at the link above.

    • 2 years ago
  7. lgbasallote Group Title
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    i see many sequences

    • 2 years ago
  8. helpmeplz311 Group Title
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    It says you have to work out the terms asked for, create a formula.

    • 2 years ago
  9. helpmeplz311 Group Title
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    Actually,all of them. I uave to turn this in today.

    • 2 years ago
  10. lgbasallote Group Title
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    well...the formula for arithmetic sequence is what you say \[\huge a_n = a_1 + (n-1)d\] where: an is the last term a1 is the first term n is the number of terms d is the common difference

    • 2 years ago
  11. helpmeplz311 Group Title
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    Please know I am in eight grade.

    • 2 years ago
  12. lgbasallote Group Title
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    for example 1, 9, 17, 25, 33,... find the 50th term an would be a50 because a50 is the last term a1 will be 1 because it's the first term n would be 50 because you're looking for the 50th term so you have 50 terms d would be 8 because it adds 8 each number (1 + 8 = 9; 9 + 8 = 17; etc) so if you substitute.. \[\huge a_{50} = 1 + (50 - 1)8\] \[\huge a_{50} = 1 + 49 (8)\] \[\huge a_{50 } = 1 + 392\] \[\huge a_{50} = 393\] so the 50th term is 393 in my example

    • 2 years ago
  13. lgbasallote Group Title
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    if you're old enough to learn sequences then you're old enough to learn this

    • 2 years ago
  14. helpmeplz311 Group Title
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    Ok..'reading'

    • 2 years ago
  15. helpmeplz311 Group Title
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    may i try o e?

    • 2 years ago
  16. lgbasallote Group Title
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    sure

    • 2 years ago
  17. helpmeplz311 Group Title
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    From my homework.

    • 2 years ago
  18. helpmeplz311 Group Title
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    ill write in othere first amd then type it on here.

    • 2 years ago
  19. lgbasallote Group Title
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    sure

    • 2 years ago
  20. helpmeplz311 Group Title
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    a44=8+(5-1)9

    • 2 years ago
  21. helpmeplz311 Group Title
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    number 7

    • 2 years ago
  22. helpmeplz311 Group Title
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    is that correct?

    • 2 years ago
  23. lgbasallote Group Title
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    let me check...

    • 2 years ago
  24. helpmeplz311 Group Title
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    ok

    • 2 years ago
  25. lgbasallote Group Title
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    number 7 is looking for the 50th term not the 44th

    • 2 years ago
  26. helpmeplz311 Group Title
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    You said a1 was the last term,which in this case is 44

    • 2 years ago
  27. lgbasallote Group Title
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    i think you're confused... 8, 17, 26, 35, 44, .... this doesn't mean 44 is the last term "..." means the sequence continues 8, 17, 26, 35, 44, 53, 62, 71 and so on

    • 2 years ago
  28. lgbasallote Group Title
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    that means the last term is the 50th term because that's what you're looking for make sense?

    • 2 years ago
  29. helpmeplz311 Group Title
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    ohhhh

    • 2 years ago
  30. helpmeplz311 Group Title
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    well, if we erased the 44, would it be correct?

    • 2 years ago
  31. lgbasallote Group Title
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    nope. you used 5 as your n

    • 2 years ago
  32. helpmeplz311 Group Title
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    im sorry.

    • 2 years ago
  33. lgbasallote Group Title
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    like i said, the sequence doesn't stop at 44 so there are more than 5 terms

    • 2 years ago
  34. lgbasallote Group Title
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    since you're looking for the 50th term, there would be 50 terms make sense?

    • 2 years ago
  35. helpmeplz311 Group Title
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    yes

    • 2 years ago
  36. lgbasallote Group Title
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    good. so rewrite your solution

    • 2 years ago
  37. helpmeplz311 Group Title
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    wait it shouldve been 50 right

    • 2 years ago
  38. helpmeplz311 Group Title
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    a50=8+(50-1)9

    • 2 years ago
  39. lgbasallote Group Title
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    right. now solve it

    • 2 years ago
  40. helpmeplz311 Group Title
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    thatll give me the 50th term?

    • 2 years ago
  41. helpmeplz311 Group Title
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    do you solve for a in the a50?

    • 2 years ago
  42. lgbasallote Group Title
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    no... a50 means \(a _{50}\) that means 50th term

    • 2 years ago
  43. lgbasallote Group Title
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    just solve the right side

    • 2 years ago
  44. helpmeplz311 Group Title
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    -2?

    • 2 years ago
  45. helpmeplz311 Group Title
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    n

    • 2 years ago
  46. helpmeplz311 Group Title
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    no

    • 2 years ago
  47. lgbasallote Group Title
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    how'd you get -2?

    • 2 years ago
  48. helpmeplz311 Group Title
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    umm,let me tru again

    • 2 years ago
  49. helpmeplz311 Group Title
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    web2.0calc

    • 2 years ago
  50. helpmeplz311 Group Title
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    ooo the a50 doesnt matter when solving

    • 2 years ago
  51. lgbasallote Group Title
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    yes

    • 2 years ago
  52. helpmeplz311 Group Title
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    513?

    • 2 years ago
  53. helpmeplz311 Group Title
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    i lost connection

    • 2 years ago
  54. helpmeplz311 Group Title
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    back,

    • 2 years ago
  55. helpmeplz311 Group Title
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    was i right?

    • 2 years ago
  56. lgbasallote Group Title
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    you solved 8 + (50-1)9 right?

    • 2 years ago
  57. helpmeplz311 Group Title
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    yes

    • 2 years ago
  58. lgbasallote Group Title
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    did you use a calculator?

    • 2 years ago
  59. helpmeplz311 Group Title
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    yes i was supposed to use order of operations?

    • 2 years ago
  60. lgbasallote Group Title
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    i see what you did (8 + 50 - 1)* 9

    • 2 years ago
  61. lgbasallote Group Title
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    that is wrong

    • 2 years ago
  62. helpmeplz311 Group Title
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    *sigh* ok

    • 2 years ago
  63. lgbasallote Group Title
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    you have to do (50 -1) then multiply it to 9 then add 8

    • 2 years ago
  64. helpmeplz311 Group Title
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    order of ops.

    • 2 years ago
  65. lgbasallote Group Title
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    PEMDAS PARENTHESIS expoent MULTIPLICATION division ADDITION subtraction did you forget this?

    • 2 years ago
  66. helpmeplz311 Group Title
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    no, thats what order of operations is

    • 2 years ago
  67. lgbasallote Group Title
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    parenthesis is (50 - 1) multiplication is (50-1)*9 addition is 8 + (50-1)*9

    • 2 years ago
  68. lgbasallote Group Title
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    that means you do 50 - 1 first

    • 2 years ago
  69. helpmeplz311 Group Title
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    o. so, i use that formula, substitute,and solve right side?

    • 2 years ago
  70. lgbasallote Group Title
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    yes

    • 2 years ago
  71. helpmeplz311 Group Title
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    THANK YOU

    • 2 years ago
  72. lgbasallote Group Title
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    welcome

    • 2 years ago
  73. helpmeplz311 Group Title
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    hi amistre

    • 2 years ago
  74. lgbasallote Group Title
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    i hope im not in trouble @amistre64

    • 2 years ago
  75. amistre64 Group Title
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    finally got to the end of it :) howdy!

    • 2 years ago
  76. helpmeplz311 Group Title
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    howdy,sir

    • 2 years ago
  77. helpmeplz311 Group Title
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    you mean the end of my endless question?

    • 2 years ago
  78. amistre64 Group Title
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    i havent seen the links yet, but lgbas stuff looks good so far yeah, these things can get rather lengthy, but thats the way we like to see them. lots of interaction and studying instead of rote answers

    • 2 years ago
  79. helpmeplz311 Group Title
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    am i in trouble

    • 2 years ago
  80. amistre64 Group Title
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    lol, not that i can see :) as long as your trying to learn that material you are fine

    • 2 years ago
  81. helpmeplz311 Group Title
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    yes imam.

    • 2 years ago
  82. amistre64 Group Title
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    they all look to be arithmetic progressions, so you can apply the same techniques to all of them

    • 2 years ago
  83. lgbasallote Group Title
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    i'd like to know though @amistre64 do you know what dn + (a-d) means?

    • 2 years ago
  84. lgbasallote Group Title
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    it looks like the formula for arithmetic progression....but it looks weird

    • 2 years ago
  85. amistre64 Group Title
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    its another way to express the sequence but for n starting at 0 i believe

    • 2 years ago
  86. helpmeplz311 Group Title
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    amistre can i fan u

    • 2 years ago
  87. lgbasallote Group Title
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    dn looks really weird

    • 2 years ago
  88. amistre64 Group Title
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    dn + (a-d) dn - d + a d(n-1) + a

    • 2 years ago
  89. amistre64 Group Title
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    you can fan whomever you wish

    • 2 years ago
  90. lgbasallote Group Title
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    ...clever

    • 2 years ago
  91. amistre64 Group Title
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    i think if i get anymore fans the site will collapse into an infinitly large black hole tho so be careful if you do :)

    • 2 years ago
  92. amistre64 Group Title
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    have you gone over how to find the terms used: a, d, n ?

    • 2 years ago
  93. helpmeplz311 Group Title
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    yes

    • 2 years ago
  94. amistre64 Group Title
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    good, cause one you know how to get those, the rest is just simple arithmetic

    • 2 years ago
  95. amistre64 Group Title
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    *cause once you know

    • 2 years ago
  96. helpmeplz311 Group Title
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    d common difference

    • 2 years ago
  97. amistre64 Group Title
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    how do you find the common difference of the sequence?

    • 2 years ago
  98. helpmeplz311 Group Title
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    subtract.

    • 2 years ago
  99. amistre64 Group Title
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    right, subtract the first term from the second term problem 10: 7 ,13, 19, ... d = 13-7 = 6 right?

    • 2 years ago
  100. helpmeplz311 Group Title
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    yes sirr

    • 2 years ago
  101. amistre64 Group Title
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    and what does the "a" in the formula refer to?

    • 2 years ago
  102. helpmeplz311 Group Title
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    a refers to a term

    • 2 years ago
  103. amistre64 Group Title
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    yes, but there is "a" special a that we need to use in the formula itself. the FIRST term. In the problem im working thru, that would be: 7 d=6, a=7 and what does "n" mean?

    • 2 years ago
  104. amistre64 Group Title
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    im going to use a different but equal notation for the formula: \[f(n)=a+d(n-1)\] \[f(n)=7+6(n-1)\]

    • 2 years ago
  105. amistre64 Group Title
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    you can replace \(f(n)\) with \(a_n\) if you want, its just a placeholder

    • 2 years ago
  106. amistre64 Group Title
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    the "n" is reserved for the position of the term we want to find. in this case, the 90th term \[f(n)=7+6(n-1)\] \[f(90)=7+6(90-1)\] \[f(90)=7+6(89)\] \[f(90)=7+534\] \[f(90)=541\]

    • 2 years ago
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