| | Question 36

The 8th term of a GP is 16 times the 4th term. What will be the first term when its sixth term is 64.
(A) 2
(B) 3
(C) 4
(D) 5


Answer: (A)

Explanation: We know nth term of GP = arn-1
8th term = ar7 and 4th term =ar3
Given that
ar7 = 16ar3
=> r4 = 16
=> r = 2
Given ar5 = 64
put value of r above
a(2)5 = 64
a = 64/32 = 2
Hence, first term of the GP is 2.

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