If sum of infinite terms of a G.P. is 3 and s | vedclass

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Question

(a) $\frac{a}{{1 - r}} = 3$ &hellip;..(i)

and $\frac{{{a^2}}}{{1 - {r^2}}} = 3$ .....(ii)

From (i) and (ii), $\frac{a}{{1 + r}} = 1$

$\Righta

Vedclass · Accepted Answer

$3/2, 1/2$

Vedclass · Answer

(a) $\frac{a}{{1 - r}} = 3$ &hellip;..(i)

and $\frac{{{a^2}}}{{1 - {r^2}}} = 3$ .....(ii)

From (i) and (ii), $\frac{a}{{1 + r}} = 1$

$\Rightarrow a = 1 + r$

From (i), $\frac{{1 + r}}{{1 - r}} = 3 $

$\Rightarrow r = \frac{1}{2}$ , from (i), $ a = 3/2$

So, first term $= 3/2$ and common ratio $= 1/2.$

If sum of infinite terms of a $G.P.$ is $3$ and sum of squares of its terms is $3$, then its first term and common ratio are

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