Determine and simplify your answer fully.

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Determine 3∑k=1nk  +  2∑k=12n5k−13\displaystyle\sum_{k=1}^{n}k\; +\; 2\displaystyle\sum_{k=1}^{2n}5^{k-1} and simplify your answer fully.

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