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CGP EDU Academic Team
Published on: August 13, 2026
The value of n C 0 + n+1 C 1 + n+2 C 2 +.....+ n+k C k is equal to-
Text Solution
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CHECK THE SOLUTION.
(a, b)
Coefficient of x n in (1 + x) n + (1+ x) n+1 + ......+ (1 + x) n + k = coefficient of x
n in (1 + x) n 
= coefficient of x n+1 in (1+ x) n + k + 1 – (1+ x) n
= n + k + 1 C n + 1 = n+k + 1 C k
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