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Numbers - General Aptitude

Q1:

How many terms are there in the G.P. 3, 6, 12, 24, ... , 384 ?

A 8

B 9

C 10

D 11

E 7

ANS:A - 8

Here a = 3 and r = 6 = 2. Let the number of terms be n.
3
Then, tn = 384     arn-1 = 384  3 x 2n - 1 = 384  2n-1 = 128 = 27  n - 1 = 7  n = 8  Number of terms = 8.