JEE Main Questions
Using the principle of mathematical induction, prove that (23n−1)
is divisible by 7
for all n∈N
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Find the coefficient of a3b4c
in the expansion of (1+a−b+c)9˙
If the coefficient of the middle term in the expansion of (1+x)2n+2isα
and the coefficients of middle terms in the expansion of (1+x)2n+1
then relate α,βandγ˙
Find the value of 4nC0+4nC4+4nC8++4nC4n
Expand of the expression : (1−2x)5
divides the number 101100−1
then, find the greatest value of m˙
Expand using Binomial Theorem (1+2x−x2)4,x=0.
Find the coefficient of x25
in expansion of expression r=0∑50(50)Cr(2x−3)r(2−x)50−r