The sum to infinity of a G.P. is , and
. Find
.
Odinaka_OTyro
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Sum to infinity(S)=![Rendered by QuickLaTeX.com \dfrac{a}{1-r}](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-e485af0ffffa5613a944697985efc32b_l3.png)
![Rendered by QuickLaTeX.com a=\frac{1}{12}, r=?, S=\frac{2}{3}](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-64df27587935d42394ebfc6e58f1fbc1_l3.png)
![Rendered by QuickLaTeX.com \Rightarrow \frac{2}{3}=\dfrac{\frac{1}{12}}{1-r}](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-5c0118f78a0c0cf8e46ae89774591e7d_l3.png)
![Rendered by QuickLaTeX.com \Rightarrow 2(12(1-r))=3\times 1](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-6d8f74bfb5f893dbcd6f9aa7e1fce14c_l3.png)
![Rendered by QuickLaTeX.com \Rightarrow 24-24r=3](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-338faa0ac9cf6f0f3e74dee84d22f875_l3.png)
![Rendered by QuickLaTeX.com \Rightarrow 24-3=24r](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-767e3813fc15d786f27a6d1da17496aa_l3.png)
![Rendered by QuickLaTeX.com \Rightarrow 21=24r](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-29b910f7c469b39c3ee32e4c2114f84e_l3.png)
![Rendered by QuickLaTeX.com \therefore r=\frac{21}{24}=\frac{7}{8}](https://acedstudy.com/wp-content/ql-cache/quicklatex.com-61b0d12edc5fa8023c49a5fd2ae73c89_l3.png)
where
Cross multiply
Collect like term
Divide both sides by 24