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CGP EDU Academic Team
Published on: August 14, 2026
Let there be a G.P. consisting of 5 terms, where first term is ‘a’ and common ratio is ‘r’.
(i) If ‘a’ is the value of x for which the function f(x) = 5 + 4x log e 5 – 5 x – 1 – 5 2 – x attains the maxima, then a =
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Ans.
(i)
Sol. f ′ (x) = 4 λ n 5 – 
5 x λ n 5 + 25. 
. λ n 5
f ′ (x) = 
= 0
⇒ x = 2
(ii)
Sol. α = (f(x) + f(1)) f ′ (1) ⇒ α = 8.2 = 16
So r = 
(iii)
Sol. 
= 
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