If (1+ x) n =C 0 + C 1 x + C 2 x 2 +……+ C n x n (x ∈ N). Fi…

Maths Binomial Theorem & Mathematical Induction Mix Subjective Type

Published on: August 13, 2026

If (1+ x) n =C 0 + C 1 x + C 2 x 2 +……+ C n x n (x ∈ N). Find the value of

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The correct answer is:

CHECK THE SOLUTION.

Sol. For k ≥ 1, we have =

So that k 3 = k 3 = k (n – k + 1) 2 = k

[(n+1) 2 –2k (n+1) + k 2 ]

⇒ = (n + 1) 2

= (n +1)

2 –2 (n+1)

= [6n + 6 –8n –4 + 3n]

= n (n + 1) 2 (n + 2)

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