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CGP EDU Academic Team
Published on: August 14, 2026
If P n is the sum of a G.P. upto n terms (n ≥ 3) such that (1 – r) 
= aP n–1 + bP n , where r is the common ratio of G.P. then maximum value of | a + b | is........
Text Solution
Verified by ExpertsThe correct answer is:
1
Ans. 1
Sol. Let the first term of G.P. be α
so P n = 
= 
(1 – r) 
= 
= α n. 
+ P n
= n . P n–1 – nP n + P n = (1 – n)P n + nP n–1
so a = 1 – n and b = n, hence a + b = 1
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