The sum Sn=k=0∑n(−1)k⋅3nCk, where n=1,2,…. is
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If the middle term in the expansion of (x2+1/x)n
then find the value of n˙
If (x+x1+1)6=a0+(a1x+xbi)+(a2x2+x2b2)+....+(a6x6+x6b6), then
Find the coefficient of a3b4c
in the expansion of (1+a−b+c)9˙
Consider the expansion of (a+b+c+d)6. Then the sum of all the coefficients of the term Which contains both a and b is
The coefficient of x7 in the expansion of (1−x−x2+x3)6 is
Using binomial theorem, prove that 6n−5n
always leaves remainder 1 when divided by 25.
Find the sum C0−C2+C4−C6+,whereCr=∧6Cr=nCr
Find the term independent of x in the expansion of (2x+2−x+logeex+2))30.