Menu Close

Find-the-natural-value-of-x-that-satisfies-the-equation-1-6-7-1-7-8-1-8-9-1-x-x-1-1-12-




Question Number 140810 by mathsuji last updated on 12/May/21
Find the natural value of x that  satisfies the equation:  (1/(6∙7)) + (1/(7∙8)) + (1/(8∙9)) +...+ (1/(x∙(x+1))) = (1/(12))
$${Find}\:{the}\:{natural}\:{value}\:{of}\:\boldsymbol{{x}}\:{that} \\ $$$${satisfies}\:{the}\:{equation}: \\ $$$$\frac{\mathrm{1}}{\mathrm{6}\centerdot\mathrm{7}}\:+\:\frac{\mathrm{1}}{\mathrm{7}\centerdot\mathrm{8}}\:+\:\frac{\mathrm{1}}{\mathrm{8}\centerdot\mathrm{9}}\:+…+\:\frac{\mathrm{1}}{{x}\centerdot\left({x}+\mathrm{1}\right)}\:=\:\frac{\mathrm{1}}{\mathrm{12}} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *