Sum to infinity of a G.P. 5, -5/2, 5/4, -5/8, 5/16,.... is(A) 5(B) -1/ – InterviewSolution

1.

Sum to infinity of a G.P. 5, -5/2, 5/4, -5/8, 5/16,.... is(A) 5(B) -1/2(C) 10/3(D) 3/10

Answer»

Correct option is (C) 10/3
Here, a = 5, r = -1/2, |r| < 1

\(\therefore\) Sum to the infinity = \(\frac{a}{1-r}=\cfrac{5}{1+\frac12}=\frac{10}3\)

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