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Gizmo's geometric sequence

Source: 2014-2015 SDML Middle School 1a Problem 7

August 28, 2016
geometric sequence

Problem Statement

Gizmo is thinking of a geometric sequence in which the third term is 12151215 and the fifth is 540540. Which of the following could be the eighth term of Gizmo's sequence?
(A) −160(B) −135.5(C) 216(D) 240(E) 472.5\text{(A) }-160\qquad\text{(B) }-135.5\qquad\text{(C) }216\qquad\text{(D) }240\qquad\text{(E) }472.5
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