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Formulate the recursive formula for the following geometric sequence.

\(\left\{-16,\ 4,\ -1,...\right\}\)

The recursive formula for the geometric sequence is

Explanation:

The given sequence is

We need to determine the recursive formula for the given geometric sequence.

To determine the recursive formula, first we shall find the common difference.

Since, it is a geometric sequence, the common difference can be determined by

Hence, the common difference of the given geometric sequence is

The recursive equation for the geometric sequence can be determined using the formula,

Substituting the value , we get,

Thus, the recursive formula for the geometric sequence is

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step-by-step explanation:

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~courtney

what are the statments

step-by-step explanation: