Find the sum of the arithmetic series :

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

Problem

Find the sum of the arithmetic series 2+6+10+14+18+22+26+302 + 6 + 10 + 14 + 18 + 22 + 26 + 30: (1) By direct addition (2) Using Sn=n2(u1+un)S_n = \frac{n}{2}(u_1 + u_n) (3) Using Sn=n2(2u1+(n−1)d)S_n = \frac{n}{2}\left(2u_1 + (n - 1)d\right)

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