Find an explicit rule for the geometric sequence using subscript notation. Use a calculator and round your answers to the nearest tenth if necessary.

The third term of the sequence is 140. The fifth term is 89.6.
The explicit rule for the geometric sequence is
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The explicit rule for the geometric sequence is

Explanation:

The 3rd term of the sequence is 140.

The 5th term of the sequence is 89.6.

The formula for explicit rule of the geometric sequence is given by

Now, we shall find the values of and

Substituting the values of 3rd term and 5th term of the sequence in the explicit formula, we get,

-------------(1)

------------(2)

Dividing (2) by (1) , we have,

Simplifying, we get,

Taking square root on both sides,

Substituting in equation (1), we have,

Thus, the values of and are and

Substituting these values in the explicit formula, we get,

Thus, the explicit rule for the geometric sequence is

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step-by-step explanation:

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