If , and are consecutive terms of a geometric sequence, then the number of integers…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

\log_2 4

\log_{\sqrt{2}} 8

and

\log_3 9^{k-1}

are consecutive terms of a geometric sequence, then the number of integers that satisfy the system of inequalities

x^2 - x > 6

and

|x| < k^2

is : (a) 193 (b) 194 (c) 195 (d) 196