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helpmeplz311

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)

  • one year ago
  • one year ago

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  1. helpmeplz311
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    @lgbasallote @nincompoop

    • one year ago
  2. helpmeplz311
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    Please help:(

    • one year ago
  3. lgbasallote
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    what exactly are you asking?

    • one year ago
  4. lgbasallote
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    sequence of what?

    • one year ago
  5. helpmeplz311
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    I dont undersyand how to create a formula.

    • one year ago
  6. helpmeplz311
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    The worksheet is at the link above.

    • one year ago
  7. lgbasallote
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    i see many sequences

    • one year ago
  8. helpmeplz311
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    It says you have to work out the terms asked for, create a formula.

    • one year ago
  9. helpmeplz311
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    Actually,all of them. I uave to turn this in today.

    • one year ago
  10. lgbasallote
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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

    • one year ago
  11. helpmeplz311
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    Please know I am in eight grade.

    • one year ago
  12. lgbasallote
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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

    • one year ago
  13. lgbasallote
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    if you're old enough to learn sequences then you're old enough to learn this

    • one year ago
  14. helpmeplz311
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    Ok..'reading'

    • one year ago
  15. helpmeplz311
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    may i try o e?

    • one year ago
  16. lgbasallote
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    sure

    • one year ago
  17. helpmeplz311
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    From my homework.

    • one year ago
  18. helpmeplz311
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    ill write in othere first amd then type it on here.

    • one year ago
  19. lgbasallote
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    sure

    • one year ago
  20. helpmeplz311
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    a44=8+(5-1)9

    • one year ago
  21. helpmeplz311
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    number 7

    • one year ago
  22. helpmeplz311
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    is that correct?

    • one year ago
  23. lgbasallote
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    let me check...

    • one year ago
  24. helpmeplz311
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    ok

    • one year ago
  25. lgbasallote
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    number 7 is looking for the 50th term not the 44th

    • one year ago
  26. helpmeplz311
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    You said a1 was the last term,which in this case is 44

    • one year ago
  27. lgbasallote
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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

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

    • one year ago
  29. helpmeplz311
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    ohhhh

    • one year ago
  30. helpmeplz311
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    well, if we erased the 44, would it be correct?

    • one year ago
  31. lgbasallote
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    nope. you used 5 as your n

    • one year ago
  32. helpmeplz311
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    im sorry.

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

    • one year ago
  34. lgbasallote
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    since you're looking for the 50th term, there would be 50 terms make sense?

    • one year ago
  35. helpmeplz311
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    yes

    • one year ago
  36. lgbasallote
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    good. so rewrite your solution

    • one year ago
  37. helpmeplz311
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    wait it shouldve been 50 right

    • one year ago
  38. helpmeplz311
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    a50=8+(50-1)9

    • one year ago
  39. lgbasallote
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    right. now solve it

    • one year ago
  40. helpmeplz311
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    thatll give me the 50th term?

    • one year ago
  41. helpmeplz311
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    do you solve for a in the a50?

    • one year ago
  42. lgbasallote
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    no... a50 means \(a _{50}\) that means 50th term

    • one year ago
  43. lgbasallote
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    just solve the right side

    • one year ago
  44. helpmeplz311
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    -2?

    • one year ago
  45. helpmeplz311
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    n

    • one year ago
  46. helpmeplz311
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    no

    • one year ago
  47. lgbasallote
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    how'd you get -2?

    • one year ago
  48. helpmeplz311
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    umm,let me tru again

    • one year ago
  49. helpmeplz311
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    web2.0calc

    • one year ago
  50. helpmeplz311
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    ooo the a50 doesnt matter when solving

    • one year ago
  51. lgbasallote
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    yes

    • one year ago
  52. helpmeplz311
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    513?

    • one year ago
  53. helpmeplz311
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    i lost connection

    • one year ago
  54. helpmeplz311
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    back,

    • one year ago
  55. helpmeplz311
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    was i right?

    • one year ago
  56. lgbasallote
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    you solved 8 + (50-1)9 right?

    • one year ago
  57. helpmeplz311
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    yes

    • one year ago
  58. lgbasallote
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    did you use a calculator?

    • one year ago
  59. helpmeplz311
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    yes i was supposed to use order of operations?

    • one year ago
  60. lgbasallote
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    i see what you did (8 + 50 - 1)* 9

    • one year ago
  61. lgbasallote
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    that is wrong

    • one year ago
  62. helpmeplz311
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    *sigh* ok

    • one year ago
  63. lgbasallote
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    you have to do (50 -1) then multiply it to 9 then add 8

    • one year ago
  64. helpmeplz311
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    order of ops.

    • one year ago
  65. lgbasallote
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    PEMDAS PARENTHESIS expoent MULTIPLICATION division ADDITION subtraction did you forget this?

    • one year ago
  66. helpmeplz311
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    no, thats what order of operations is

    • one year ago
  67. lgbasallote
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    parenthesis is (50 - 1) multiplication is (50-1)*9 addition is 8 + (50-1)*9

    • one year ago
  68. lgbasallote
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    that means you do 50 - 1 first

    • one year ago
  69. helpmeplz311
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    o. so, i use that formula, substitute,and solve right side?

    • one year ago
  70. lgbasallote
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    yes

    • one year ago
  71. helpmeplz311
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    THANK YOU

    • one year ago
  72. lgbasallote
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    welcome

    • one year ago
  73. helpmeplz311
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    hi amistre

    • one year ago
  74. lgbasallote
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    i hope im not in trouble @amistre64

    • one year ago
  75. amistre64
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    finally got to the end of it :) howdy!

    • one year ago
  76. helpmeplz311
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    howdy,sir

    • one year ago
  77. helpmeplz311
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    you mean the end of my endless question?

    • one year ago
  78. amistre64
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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

    • one year ago
  79. helpmeplz311
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    am i in trouble

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

    • one year ago
  81. helpmeplz311
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    yes imam.

    • one year ago
  82. amistre64
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    they all look to be arithmetic progressions, so you can apply the same techniques to all of them

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

    • one year ago
  84. lgbasallote
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    it looks like the formula for arithmetic progression....but it looks weird

    • one year ago
  85. amistre64
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    its another way to express the sequence but for n starting at 0 i believe

    • one year ago
  86. helpmeplz311
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    amistre can i fan u

    • one year ago
  87. lgbasallote
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    dn looks really weird

    • one year ago
  88. amistre64
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    dn + (a-d) dn - d + a d(n-1) + a

    • one year ago
  89. amistre64
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    you can fan whomever you wish

    • one year ago
  90. lgbasallote
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    ...clever

    • one year ago
  91. amistre64
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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 :)

    • one year ago
  92. amistre64
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    have you gone over how to find the terms used: a, d, n ?

    • one year ago
  93. helpmeplz311
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    yes

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

    • one year ago
  95. amistre64
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    *cause once you know

    • one year ago
  96. helpmeplz311
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    d common difference

    • one year ago
  97. amistre64
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    how do you find the common difference of the sequence?

    • one year ago
  98. helpmeplz311
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    subtract.

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

    • one year ago
  100. helpmeplz311
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    yes sirr

    • one year ago
  101. amistre64
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    and what does the "a" in the formula refer to?

    • one year ago
  102. helpmeplz311
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    a refers to a term

    • one year ago
  103. amistre64
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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?

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

    • one year ago
  105. amistre64
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    you can replace \(f(n)\) with \(a_n\) if you want, its just a placeholder

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

    • one year ago
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