Question

how to find number of terms in binomial theorem​

Answer 1

Answer:

Binomial Expansion

The total number of terms in the expansion of (x+y)n are (n+1)

The sum of exponents of x and y is always n.

nC0, nC1, nC2, … .., ...

The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. nC0 = nCn, nC1 = nCn-1 , nC2 = nCn-2 ,….. etc.

Answer 2

Answer:

If a and b are real numbers and n is a positive integer, then (a + b)n =nC0 an + nC1 an – 1 b1 + nC2 an – 2 b2 + ... 1. The total number of terms in the binomial expansion of (a + b)n is n + 1, i.e. one more than the exponent n