Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the geometric sequence.15th term: 4, 8, 16,. . .

Question

Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the geometric sequence.15th term: 4, 8, 16,. . .
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Solution 1

The formula for the nth term of a geometric sequence is given by:

a_n = a_1 * r^(n-1)

where: a_n is the nth term, a_1 is the first term, r is the common ratio, n is the term number.

In this case, the first term a_1 is 4 and the common ratio r is 2 (since each term is twice the previous term).

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