Question

In a geometric sequence in which all of the terms are positive, the second term is 3 and the fourth term is 192, what is the value of the 7th term in the sequence?

Answer 1

find the common ratio:

192/3 = 64

sqrt (64) = 8

ratio is 8

so5th term = 192*8 = 1536

6th term = 1536 *8 = 12288

7th term = 12288 * 8 =98304