The number of terms in expansion of (1+x) n with r-th term having coefficient nCr is:

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The number of terms in expansion of (1+x)<sup>n</sup> with r-th term having coefficient nCr is:

Answer: n+1.

Correct answer: B. n+1

Explanation: Binomial expansion: (1+x)ⁿ = C(n,0) + C(n,1)x + … + C(n,n)xⁿ. Terms correspond to r = 0,1,2,…,n: that is n+1 terms in total.

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Arithmetic progressions, geometric progressions, and sums