manini dhar

CAT Preparation Community 10y ago

In an infinite GP, each term is equal to 7times the sum of the terms that follow it. What is the common ration of the progression?? Ans= 1/8.. explanation plzz

1

Shubham Sodhani 10y ago

Let the G.P. be a, a*r, a*r^2 and so on till infinity.
Given, a = Sum of the infinite terms starting from a*r
Therefore a = 7 [a*r / 1-r]
'a' will get cancelled on both sides. Solve for 'r'.
r = 1/8

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