How many terms are there in the expansion of (1 + x)^n?
Correct answer: C. n + 1
- A. 2^n
- B. n^
- C. n + 1
- D. n - 1
Explanation
Solution:The correct answer is c) n + 1.The expansion of (1 + x)^n can be written as:(1 + x)^n = 1 + nx + n(n-1)x^2/2! + n(n-1)(n-2)x^3/3! + ... + n!x^nThe number of terms in this expansion is n + 1, as there are n + 1 terms in the sum.Therefore, the number of terms in the expansion of (1 + x)^n is n + 1.
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