In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
an = (2/3n+5/6)
Step 02:
arithmetic sequence (partial sum):
Sn = n/2 (a1 + an)
[tex]a1\text{ = }\frac{2}{3}\cdot1+\frac{5}{6}=\frac{2}{3}+\frac{5}{6}=\frac{3}{2}[/tex][tex]a36=\frac{2}{3}\cdot36+\frac{5}{6}=\frac{72}{3}+\frac{5}{6}=\frac{149}{6}[/tex][tex]S_{36}=\frac{36}{2}(\frac{3}{2}+\frac{149}{6})[/tex]
That is the full solution.
