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anonymous

  • one year ago

The simple formula for the nth term of an arithmetic sequence is an = 4n + 16. What is the explicit formula corresponding to the simple formula? A.an = 4 + (n - 1)(16) B.an = 16 + (n - 1)(4) C.an = 16 + 4n D.an = 20 + (n)(4) E.an = 20 + (n - 1)(4)

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  1. anonymous
    • one year ago
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    @Robert136

  2. welshfella
    • one year ago
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    an = a1 + (n - 1)d

  3. welshfella
    • one year ago
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    where d = common difference and a1 = first term

  4. anonymous
    • one year ago
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    so its a???

  5. welshfella
    • one year ago
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    in your case d = 4

  6. anonymous
    • one year ago
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    mhm

  7. welshfella
    • one year ago
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    no

  8. anonymous
    • one year ago
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    ik its not a and b

  9. welshfella
    • one year ago
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    the coefficient of n is d in the explicit formula so that makes d = 4 but what value will a1 have?

  10. welshfella
    • one year ago
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    why do you say its not b?

  11. welshfella
    • one year ago
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    oh i see - no its not b

  12. anonymous
    • one year ago
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    lol

  13. anonymous
    • one year ago
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    i think its c

  14. anonymous
    • one year ago
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    im i right>??

  15. welshfella
    • one year ago
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    simplif each of the options and see if you get 4n + 16

  16. welshfella
    • one year ago
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    no

  17. anonymous
    • one year ago
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    how when its already 16+4n

  18. welshfella
    • one year ago
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    20 + (n - 1)4 = 20 + 4n - 4 = ?

  19. anonymous
    • one year ago
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    the -4 will cancel out

  20. anonymous
    • one year ago
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    so it will be left with 2o+44n then you divide both by 4

  21. welshfella
    • one year ago
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    you need the explicit formula where you can easily pick out the first term and the common difference

  22. welshfella
    • one year ago
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    20 - 4 = 16

  23. anonymous
    • one year ago
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    so its d

  24. welshfella
    • one year ago
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    theres only 1 left lol

  25. anonymous
    • one year ago
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    d

  26. welshfella
    • one year ago
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    e = 20 + (n - 1)4 = 10 + 4n - 4 = 4n + 16 so its e

  27. anonymous
    • one year ago
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    ok EXPLAIN PLZ

  28. welshfella
    • one year ago
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    * that is 20 + 4n - 4 in second line

  29. anonymous
    • one year ago
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    ik that

  30. welshfella
    • one year ago
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    - well it simplifies back to 4n + 16 and a1 + (n - 1)d is the explicit formula

  31. anonymous
    • one year ago
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    oooo lol thx

  32. welshfella
    • one year ago
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    yw

  33. anonymous
    • one year ago
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    ill tag you one my other one

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