Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 150374 by mathdanisur last updated on 11/Aug/21

$$\underset{\mathbf{k}=0}{\sum ^{\mathrm{\infty }}}\frac{2^{\mathbf{k}}+3^{\mathbf{k}}}{5^{\mathbf{k}}}=?$$

Answered by eman_64 last updated on 11/Aug/21

$$=\sum _{\mathrm{k}=0}^{\mathrm{\infty }}{\left(\frac{2}{5}\right)}^{\mathbf{k}}+\sum _{\mathbf{k}=0}^{\mathrm{\infty }}{\left(\frac{3}{5}\right)}^{\mathbf{k}}$$$$=\frac{5}{2}+\frac{5}{3}$$$$=\frac{25}{6}$$

Commented by mathdanisur last updated on 11/Aug/21

$$\mathrm{Thank}\mathrm{you}\mathrm{Ser}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com