Let a+ar1+ar12+... and a+ar2+ar22+... be two infinite series of positi – InterviewSolution

1.	Let a+ar1+ar12+... and a+ar2+ar22+... be two infinite series of positive numbers with the same first term, where r1,r2<1. The sum of the first series is r1 and the sum of the second series is r2 then the value of r1+r2 is
Answer» Let $a + a r_{1} + a {r_{1}}^{2} + . . .$ and $a + a r_{2} + a {r_{2}}^{2} + . . .$ be two infinite series of positive numbers with the same first term, where $r_{1}, r_{2} < 1$ . The sum of the first series is $r_{1}$ and the sum of the second series is $r_{2}$ then the value of $r_{1} + r_{2}$ is

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