The first term of a G.P. is 2 and sum to infinity is 6, find common ra – InterviewSolution

1.

The first term of a G.P. is 2 and sum to infinity is 6, find common ratio.

Answer»

Given,

a = 2 and S_∞ = 6

∴ S_∞ = \(\frac{a}{1-r}\)

∴ 6 = \(\frac{2}{1-r}\)

⇒ 6 − 6r = 2

⇒ r = \(\frac{4}{6}\) = \(\frac{2}{3}\)

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