1i think .....we need to multiply and divide by (1-x)n.........it wud b very useful
1] the expressions
1+x , 1+x+x2 , 1+x+x2+x3 ,...........,1+x+x2+x3+.................+xn
are multiplied together and product of the terms thus obtained are arranged in the increasing powers of `x` in the form of
a0+a1x+a2x2 +............, then
a] how many terms are there in the product
b] show that the coefficents of terms in the product , equidistant from the beginning and end are equal.
c] show that sum of odd coefiicients =sum of even coefficients=\frac{\left(n+1 \right)!}{2}
[ its a simple one. just put the pen on the paper and try. a good one to brush up binomail thorem topic ]
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