Help with limiting sum question (1 Viewer)

creativemaster · Dec 23, 2018

For the GP (root5+root3)+(root5-root3)+....., verify that S(infinity)=Term1 + (root3)/3

fan96 · Dec 24, 2018

The ratio of this GP is given by

$r= \frac{\sqrt 5 -\sqrt3}{\sqrt 5 + \sqrt 3} = \frac{8-2 \sqrt{15}}{2}$

The sum of a geometric series, if it converges, is given by

$S_{\infty} =\frac{a}{1-r}$

And of course, $a = \sqrt 5 + \sqrt 3$ .

Help with limiting sum question (1 Viewer)

creativemaster

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fan96

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