Write the sum of `n`term fo a series whose `r^(t h)`term is: `r+2^rdot

1.	Write the sum of `n`term fo a series whose `r^(t h)`term is: `r+2^rdot`
Answer» Correct Answer - `(1)/(2)n(n+1)+2^(n+1)-2` Required sum `=sum_(r=1)^(n)T_(r)=sum_(r=1)^(n)(r+2^(r))` `=sum_(r=1)^(n)r+sum_(r=1)^(n)2^(r)=(1)/(2)n(n+1)+(2+2^(2)+2^(3)+...+2^(n))` `=(1)/(2)n(n+1)+(2(2^(n)-1))/((2-1))=(1)/(2)n(n+1)+2^(n+1)-2.`

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