The first 3 terms in the expansion of (1+ax)n(n=0) are 1,6x and 16x2. Then the value of a and n are respectively
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If in the expansion of (1+x)m(1−x)n, the coefficients of xandx2 are 3 and -6 respectively, then m is:
(mC0+mC1−mC2−mC3)+(′mC4+mC5−mC6−mC7)+..=0 if and only if for some positive integer k, m=
If the coefficients of (r−5)th
terms in the expansion of (1+x)34
are equal, find r˙
The sum of the roots (real or complex) of the equation x2001+(21−x)2001=0 is
If (3+a2)100+(3+b2)100=7+52, number of pairs (a,b) for which the equation is true is , (a, b are rational numbers)
Expand the expression (2x−3)6
In the expansion of (1+x)70, the sum of coefficients of odd powers of x is