Find the 10th term in the geometric sequence below.
2, –4, 8, –16, …
a. –1,024
b. 512
c. 1,024
d. 2,048

+1

(1) Answers

Llama11

This is a geometric progression.
Because -4/2 = 8/-4 = -2. Hence common ratio r = -2
The first term a = 2.
Tn for GP = ar^(n-1)
10th term, = 2*(-2)^(10 -1) = 2*(-2)^9 =2*(-512) = -1024
Tenth term = -1024. Option a.