JEE Main Questions
Find the coefficient of x20
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In the expansion of (1+x)50,
find the sum of coefficients of odd powers of x˙
If the coefficients of ar−1,arand ar+1in the expansion of (1+a)nare in arithmetic progression, prove that n2−n(4r+1)+4r2−2=0.
Find the sum C0+3C1+32C2++3nCn˙
Find a if the coefficients of x2and x3in the expansion of (3+ax)9are equal.
Expand of the expression : (2x−3)6
are positive integers and sk=1k+2k+3k++nk,
then prove that
Find the constant term in the expansion of (x−1/x)6˙
Find the sum 1−81+81×163−8×16×241×3×5+