Find the indicated term of the sequence.
--3, 9, -27, 81, . . .; a7
A)-567
B)2188
C)-6561
D)-2187

Question

Quizplus · Accepted Answer

This sequence is a geometric sequence where each term is multiplied by -3 to get the next term. The first term (a1) is -3. To find the seventh term (a7), we use the formula for the nth term of a geometric sequence: a_n = a_1 * r^(n-1), where r is the common ratio. Here, a_1 = -3, r = -3, and n = 7. So, a_7 = -3 * (-3)^(7-1) = -3 * (-3)^6 = -3 * 729 = -2187.

Find the Indicated Term of the Sequence