Question

Calculate the missing terms of the geometric sequence: 9, ?, ?, ?, 5625

Select an answer

A.
1413, 2817, 4221


B.
-45, 225, -1125


C.
45, -225, 1125


D.
-1413, 2817, -4221

Answer 1

r^4 = 5625/9 = 625 = 5^4, so r = ±5.

If r = 5: sequence is 9, 45, 225, 1125, 5625 (not listed).
If r = -5: sequence is 9, -45, 225, -1125, 5625 — which matches option B.

Answer: B.