Question

Find the 19th term of a geometric sequence where the

first term is -6 and the common ratio is -2.

Answer 1

-1572864

Explanation:

You want the 19th term of the geometric sequence with first term -6 and common ratio -2.

N-th term

The n-th term of a geometric sequence is ...

an = a1·r^(n-1)

where a1 is the first term, and r is the common ratio.

Using the given values of a1 and r, the 19th term is ...

a19 = (-6)·(-2)^(19-1) = -1572864

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