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The common ratio of a G.P. is 2. If the 5th term is greater than…

The common ratio of a G.P. is 2. If the 5th term is
greater than the 1st term by 45, find the 5th term,

A.
3
B.
6
C.
45
D.
48
E.
90

Correct Answer: Option D

Explanation

a = 1st term ; ar⁴ = 5th term
∴ ar⁴ = a(2)⁴ = 16a; 16a = 45 + a, a = 3;
3(2)⁴ = 48