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