Question 357898
{{{T=sum(x^(2+4i),i=0,N)}}}
Find the number of terms.
{{{2+4N=42}}}
{{{4N=40}}}
{{{N=10}}}
Since the terms start at 0 and not 1, then there are 11 terms altogether.
Eleven terms, each having a value of 1.
{{{S=11(1)}}}
{{{highlight(S=11)}}}
.
.
.
{{{S=2+2*sum((-1/3)^n,n=1,infinity)}}}
{{{S=2+2*(-((1/3)/(1+1/3)))}}}
{{{S=2+2*(-((1/3)/(4/3)))}}}
{{{S=2-2*(1/4)}}}
{{{S=2-1/2}}}
{{{highlight(S=3/2)}}}