Coefficient of x2m+1 in the expansion of (1+x)(1+x2)(1+x4)(1+x8)…(1+x2m)1(∣x∣<1) is
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if the 7th and 18th terms of the expansion (2+a)50
Find the rthterm from the end in the expansion of (x+a)n.
Find the coefficient of a3b4c
in the expansion of (1+a−b+c)9˙
Find the approximation of (0.99)5
using the first three terms of its expansion.
Prove that α+β+γ=10∑α!β!γ!10!=310˙
Find the remainder when 2740
is divided by 12.
Find a, b and n in the expansion of (a+b)nif the first three terms of the expansion are 729, 7290 and 30375, respectively.
Find the 6th term in expansion of (2x2−1/3x2)10˙