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
A) a5 = 1,000; an = -8 ·(-5)n
B) a5 = -5,000; an = -8 ·(-5)n
C) a5 = -5,000; an = -8 ·(-5)n-1
D) a5 = 1,000; an = -8 ·(-5)n-1

Question

Quizplus · Accepted Answer

The nth term of a geometric sequence is given by an = a * r^(n-1). For a = -8 and r = -5, the nth term is an = -8 * (-5)^(n-1). The fifth term is a5 = -8 * (-5)^(5-1) = -8 * 625 = -5,000.

Find the Fifth Term and the Nth Term of the Geometric