Question-107092

Question Number 107092 by 175mohamed last updated on 08/Aug/20

Commented by Dwaipayan Shikari last updated on 08/Aug/20

S = \frac{1}{2}

Commented by hgrocks last updated on 09/Aug/20

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Answered by Dwaipayan Shikari last updated on 08/Aug/20

First term

\frac{1}{6} = \frac{3 - 2}{3.2} = \frac{1}{2} - \frac{1}{3}

second term

\frac{7 - 3}{7.3} = \frac{1}{3} - \frac{1}{7}

. . \frac{25 - 7}{25.7} = \frac{1}{7} - \frac{1}{25}

\frac{121 - 25}{25.121} = \frac{1}{25} - \frac{1}{121}

S = \frac{1}{2} - \frac{1}{3} + \frac{1}{3} - \frac{1}{7} + \frac{1}{7} - \frac{1}{25} + \frac{1}{25} - \frac{1}{121} + \dots

S = \frac{1}{2} term n \to 0 (n \to \infty)

Commented by Dwaipayan Shikari last updated on 08/Aug/20

It is just an assumption . Is it right ?