In the expansion of (1+x)70, the sum of coefficients of odd powers of x is
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then find the value of a2+a4+a6++a12˙
The smallest integer larger than (3+2)6 is
Find the greatest coefficient in the expansion of (1+2x/3)15˙
Consider the expansion of (a+b+c+d)6. Then the sum of all the coefficients of the term Which contains all of a,b,c, and d is
Prove that k=0∑n(−1)k..3nCk=(−1)n..3n−1Cn
In (231+3311)n if the ratio of 7th term from the beginning to the 7th term from the end is 1/6, then find the value of n˙
Find the coefficient of x12 in expansion of (1−x2+x4)3(1−x)7.
If a1,a2,a3,a4 are the coefficient of any four consecutive term in the expansion of (1+x)n, then prove that a1+a2a1+a3+a4a3=a2+a32a2.