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Let ((2x^(2)+x+2)/(x))^(n)=sum(r=m)^(r=t...

Let `((2x^(2)+x+2)/(x))^(n)=sum_(r=m)^(r=t)a_(r )x^(r )`, then answer the following.
(a) The value of m and t are …
(b) The value of `sum_(r=m)^(r=t) a_(r )=`…
(c ) The value of `a_(t )=`…
(d) The value of `a_(m)=`…
(e ) If `a_(p)=a_(q)`, then `p+q=`...
`E=[1+2(x+(1)/(x))]^(n)=sum_(r=m)^(r=t)a_(r )x^(r )`,
where `r=(m,m+1,...,t)`
`E=C_(0)+C_(1).2(x+(1)/(x))+C_(2)[2(x+(1)/(x))]^(2)+......+C_(n)[2(x+(1)/(x))]^(n)`
`=sum_(r=m)^(t)a_(r )x^(r )`

Text Solution

Verified by Experts

The correct Answer is:
`(a) m=n,t=n,(b)5^(n), (c )2^(n), (d)2^(n), (e )0`
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