Questions
The sum of first two terms of Geometric Progression is 12 and the sum of third and fourth terms is 48. If the terms of Geometric Progression are alternatively positive and negative, then first term is
detailed solution
Correct option is B
Let a be the first term and r be the common ratio of Geometric Progression (G.P)Since the sum of the first and second terms in G.P is 12 ⇒a+ar=12⇒a(1+r)=12……(1)Since the sum of the third and fourth terms in G.P. is 48⇒ar2+ar3=48⇒ar2(1+r)=48……(2) Solving (1) and (2), we get r=±2 If r=2, then a=4 If r=−2 and a=−12 If r=2 , first two terms are 4,8 . If r=−2 , first two terms are −12,24 . ∴ First term, a=−12 .Similar Questions
If the first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the common ratio is
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