1.

The term independent of x in (1+x+x^(-2)+x^(-3))^(10)is n then the last digit of (n+2)^(n)is

Answer»

1
3
7
9

Solution :`(1+x(1)/(x^(2))+(1)/(x^(3)))^(10)=((x+x+x^(3)+x^(4))^(10))/(x^(30))`
Coefficient of `x^(30)` in `(1+x+x^(3)+x^(4))^(10)=(1+x)^(10)(1+x^(3))^(10)`
`=.^(10)C_(10).^(10)C_(0).^(10)C_(3)+.^(10)C_(6)+.^(10)C_(7).^(10)C_(9)`
`=1+1200+9450+1200`
`=11851`
LAST digit of `(11853)^(11851)=7`


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