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Question Number 208738 by Tawa11 last updated on 22/Jun/24

$$\mathrm{sum}:$$$$\frac{1}{1.4.7}+\frac{1}{4.7.10}+\frac{1}{7.10.13}+\frac{1}{10.13.16}+\frac{1}{13.16.19}+...+\frac{1}{94.97.100}$$

Answered by BaliramKumar last updated on 22/Jun/24

$$\frac{1}{6}[\frac{1}{1\times 4}-\frac{1}{97\times 100}]\mathrm{d}=7-1=10-4=6$$$$\frac{1}{6}\times \frac{(97\times 25-1)}{97\times 100}=\frac{1}{6}\times \frac{2424}{9700}$$$$\frac{404}{9700}=\frac{101}{2425}$$

Commented by Tawa11 last updated on 22/Jun/24

$$\mathrm{Thanks}\mathrm{sir}.$$

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