Question and Answers Forum

All Questions      Topic List

Arithmetic Questions

Previous in All Question      Next in All Question      

Previous in Arithmetic      Next in Arithmetic      

Question Number 153905 by liberty last updated on 12/Sep/21

Commented by MJS_new last updated on 12/Sep/21

$$3^3(\frac{1}{2\times 5}+\frac{1}{(2+3)(5+3)}+\frac{1}{(2+2\times 3)(5+2\times 3)}+...+\frac{1}{(2+11\times 3)(5+11\times 3)})$$

Answered by MJS_new last updated on 12/Sep/21

$$\frac{81}{19}$$

Commented by liberty last updated on 12/Sep/21

$$how?$$

Answered by som(math1967) last updated on 12/Sep/21

$$\mathit{A}=3^2(\frac{3}{2\times 5}+\frac{3}{5\times 8}+\frac{3}{8\times 11}...+\frac{3}{35\times 38})$$$$=3^2(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...\frac{1}{35}-\frac{1}{38}]$$$$=3^2\times (\frac{1}{2}-\frac{1}{38})=9\times \frac{18}{38}=\frac{81}{19}$$

Commented by liberty last updated on 12/Sep/21

$$wonderfull$$

Commented by puissant last updated on 12/Sep/21

Wow what a look ������

Terms of Service

Privacy Policy

Contact: info@tinkutara.com