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  4. If tr=2 r2+3 then displaystyle∑r=110 tr is

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Q. If $t_r=2 r^2+3$ then $\displaystyle\sum_{r=1}^{10} t_r$ is

Sequences and Series

Solution:

$\displaystyle\sum_{r=1}^n t_r=2 \displaystyle\sum_{r=1}^n t^2+\displaystyle\sum_{r=1}^n 3=\frac{2 n(n+1)(2 n+1)}{6}+3 n$
Put $n=10$