{an} and {bn} be two sequences given by for all n∈N, then a1 a2 a3 … an is equal to
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If Zr, r = 1, 2, ...,100 are the roots of then the value of
The sum rCr + r+1Cr + r+2Cr + .... + nCr (n > r) equals
The expansion [x2 + (x6 - 1)1/2]5 + [x2 - (x6 - 1)1/2]5 is a polynomial of degree
The number of irrational terms in the expansion of (21/5 + 31/10)55 is
The number of terms in the expansion of (2x + 3y− 4z)n is
If (1 + ax)n = 1 + 8x + 24x2 + ….., then the values of a and n are equal to
The product of middle terms in the expansion of is equal to
The sum of the binomial coefficients in the expansion of (x−3/4 + ax5/4)n lies between 200 and 400 and the term independent of x equals 448. The value of a is
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