Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 8; r = -5

The fifth term of the sequence is 5000.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio. The nth term of a geometric sequence is:

a = 8; r = -5

Thus:

Fifth term:

This is . So

The fifth term of the sequence is 5000.

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step-by-step explanation: