How do you find the 10th term in the geometric sequence -2,6,-18,...?

1 Answer
Jun 24, 2018

39366

Explanation:

Formula for a_nth term geometric series: ar^(n-1), where a is the first term and r is the common ratio.

In the sequence [-2, 6, -18, ...]
a = -2 and r = (a_2)/(a_1) = 6/(-2) = -3
therefore a_10 = ar^(10-1) = -2 * -3^9 = 39366