Evaluate these arithmetic series:

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Evaluate these arithmetic series: (1) ∑k=110(2k+5)\sum_{k=1}^{10}(2k+5) (2) ∑k=115(k−50)\sum_{k=1}^{15}(k-50) (3) ∑k=120(k+32)\sum_{k=1}^{20}\left(\frac{k+3}{2}\right)

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