Question

The first term of a geometric sequence is -2 and the common ratio is -1/4. what are the next three terms of the sequence?

a. -1/2, -1/8, -1/32B) 1/2, -1/8, 1/32C) -1/2, 1/8, -1/32D) 1/2, 1/8, 1/32

Answer 1

Answer: The answer is A

Answer 2

a = -2 r = -1/4

T_n= ar^(n-1) >>> this is the formula to find the n terms of a geometric progression. Substitute a and r values into equation. n = term number

(since a is the first term) T2 = (-2)(-1/4)^(2-1) = 1/2

T3= -1/8

A) is the answer