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Question-21636




Question Number 21636 by mondodotto@gmail.com last updated on 29/Sep/17
Commented by mondodotto@gmail.com last updated on 30/Sep/17
please help!
$$\mathrm{please}\:\mathrm{help}! \\ $$
Answered by Tinkutara last updated on 30/Sep/17
3.2+3.2×(3/4)+3.2×((3/4))^2 +...+3.2((3/4))^4   =((3.2(1−((3/4))^5 ))/(1−(3/4)))=((781)/(240))≈3.254 m
$$\mathrm{3}.\mathrm{2}+\mathrm{3}.\mathrm{2}×\frac{\mathrm{3}}{\mathrm{4}}+\mathrm{3}.\mathrm{2}×\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{2}} +…+\mathrm{3}.\mathrm{2}\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{4}} \\ $$$$=\frac{\mathrm{3}.\mathrm{2}\left(\mathrm{1}−\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{5}} \right)}{\mathrm{1}−\frac{\mathrm{3}}{\mathrm{4}}}=\frac{\mathrm{781}}{\mathrm{240}}\approx\mathrm{3}.\mathrm{254}\:\mathrm{m} \\ $$

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