Math, asked by liliprincess, 1 year ago

What is the recursive rule for this geometric sequence?

−64,−16,−4,−1,...

Enter your answers in the boxes.

an=
⋅an−1

a1=

Answers

Answered by 07161020
15
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This is an example of geometric progression, in which each term is obtained when multiplied with a fixed term.

Here the common ratio is 1/4 as this is the term by which a term is multiplied to get the next term.

In general, an=a(r^n-1)

So here,
an=-64[(1/4)^n-1]
an-1=-64[(1/4)^n-2]

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