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anonymous

  • one year ago

Which of the following recursive formulas represent the same arithmetic sequence as the explicit formula an=5+(n-1)2?

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  1. anonymous
    • one year ago
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    where r the options?

  2. amoodarya
    • one year ago
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    to find choice find \[a_n-a_{n-1}\]

  3. anonymous
    • one year ago
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    (An-1+5)•2 An=an-1•5 An=an-1+5 An=an-1+2

  4. welshfella
    • one year ago
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    the common difference is 2 each term is obtained from the last by adding 2

  5. welshfella
    • one year ago
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    which of the options will fit that?

  6. anonymous
    • one year ago
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    a?

  7. amoodarya
    • one year ago
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    \[a_n=5+2(n-1)\\a_{n-1}=5+2((n-1)-1)=5+2(n-2)\\a_n-a_{n-1}=\left[ 5+2(n-1) \right]-\left[ 5+2(n-2) \right]=\\5-5+2(n-1-(n-2))\\a_n-a_{n-1}=2\]

  8. welshfella
    • one year ago
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    no not a

  9. anonymous
    • one year ago
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    Oh! I thinks it's b!

  10. welshfella
    • one year ago
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    i think you are guessing the first term is 5 and the second is 7 put an = 7 and an-1 = 5 and see which of the options fit

  11. anonymous
    • one year ago
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    An-1=5

  12. welshfella
    • one year ago
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    try option b An = 7 An-1 * 5 = 5*5 = 27 that does not fit

  13. welshfella
    • one year ago
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    now try c and d

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