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))


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Question Number 140810 by mathsuji last updated on 12/May/21

$F i n d t h e n a t u r a l v a l u e o f x t h a t$ $s a t i s f i e s t h e e q u a t i o n :$ $\frac{1}{6 \cdot 7} + \frac{1}{7 \cdot 8} + \frac{1}{8 \cdot 9} + . . . + \frac{1}{x \cdot (x + 1)} = \frac{1}{12}$
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