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The common ratio of a G.P. is 2. If the 5th term isGreater than the 1st term by ...


Question

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,

Options

A) 3

B) 6

C) 45

D) 48

E) 90

The correct answer is D.

Explanation:

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

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