Question Number 147453 by EDWIN88 last updated on 21/Jul/21 | ||
$$\:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{9}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)...=? \\ $$ | ||
Commented by gsk2684 last updated on 21/Jul/21 | ||
$$\:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{9}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)...=? \\ $$$$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3}}\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}}\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{4}}\right)... \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\:\frac{\mathrm{3}}{\mathrm{2}}\:\frac{\mathrm{2}}{\mathrm{3}}\:\frac{\mathrm{4}}{\mathrm{3}}\:\frac{\mathrm{3}}{\mathrm{4}}\:\frac{\mathrm{5}}{\mathrm{4}}\:... \\ $$$$\frac{\mathrm{1}}{\mathrm{2}} \\ $$ | ||
Commented by puissant last updated on 21/Jul/21 | ||
$${nice}\:{sir}\:{gsk}.. \\ $$ | ||
Answered by liberty last updated on 21/Jul/21 | ||