Find a formula for

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Find a formula for SnS_n, the sum of the first nn terms of each series: (1) 3+3+33+9+…\sqrt{3}+3+3\sqrt{3}+9+\dots (2) 12+6+3+112+…12+6+3+1\frac{1}{2}+\dots (3) 0.9+0.09+0.009+0.0009+…0.9+0.09+0.009+0.0009+\dots (4) 20−10+5−212+…20-10+5-2\frac{1}{2}+\dots

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