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anonymous

  • one year ago

Write the recursive formula for the geometric sequence. a1 = -2 a2 = 8 a3 = -32

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  1. shamil98
    • one year ago
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    a1 = -2 a2 = 8 a3 = -32 think, what number is multiplied each time?

  2. shamil98
    • one year ago
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    hint: try finding out the ratio of two consecutive terms, a2/a1 = ?

  3. anonymous
    • one year ago
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    -4?

  4. shamil98
    • one year ago
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    yes.

  5. anonymous
    • one year ago
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    what does that even mean? ratio of a2/a1 like I don't even .. idk dude

  6. shamil98
    • one year ago
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    so -4 is multiplied each time to produce the next number in the sequence. for a geometric sequence you need to find the ratio in order to find the recursive formula. since the ratio is -4 your formula would be: a_n = a_n-1 * -4

  7. shamil98
    • one year ago
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    \[a_n = -4 a_{n-1}\]

  8. shamil98
    • one year ago
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    the recursive formula for a geometric sequence is as such: \[a_n = a_{n-1} * r \] where r is your ratio

  9. anonymous
    • one year ago
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    ummmmm okay thank you for helping me even though I have no clue what just happened

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