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CGP EDU Academic Team
Published on: August 13, 2026
If (1+x) 15 = C 0 + C 1 . x + C 2 . x 2 +.... + C 15 . x 15 , then find the value of : C 2 + 2C 3 + 3C 4 +.... + 14C 15
Text Solution
Verified by ExpertsThe correct answer is:
212993
(212993)
(1 + x) 15 = C 0 + C 1 x + .........+ C 15 x 15
Divide by x & then differentiating both side
= 
+ C 1 + C 2 x + C 3 x 2 + .......+ C 15 x 14
. 
15(1 + x) 14 – 
= – 
+ C 2 + .....+ 14 C 15 x 13
Put x = 1 then C 2 + 2C 3 + .........+ 14C 15 = 15.2 14 – 2 15 + 1
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