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anonymous

  • one year ago

WILL GIVE MEDAL!! Find an explicit rule for the nth term of the sequence. 2, -8, 32, -128, ... @ganeshie8 @Luigi0210 @whpalmer4

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  1. freckles
    • one year ago
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    hint: think geometric sequence

  2. freckles
    • one year ago
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    In case you have no memory of what that means it means term divided by previous term will always be equal to the same number we call this number the common ratio

  3. freckles
    • one year ago
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    can you find the common ratio ?

  4. anonymous
    • one year ago
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    Each number is multiplied by -4 to get to the next number

  5. freckles
    • one year ago
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    so yes the common ratio is -4 notice your first term is 2 the geometric series in explicit form looks like: \[a_n=a_1 \cdot r^{n-1}\]

  6. freckles
    • one year ago
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    a_1=2 and r=-4

  7. anonymous
    • one year ago
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    an= 2*(-4)^(n-1)?

  8. freckles
    • one year ago
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    yep

  9. anonymous
    • one year ago
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    Thank you!

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