Question

if a=r+r^2+r^3+....+infinit then find value of r
A. a/1-a
B. a/a-1
C. a/1+a​

Answer 1

Answer:

C. a/1+a

Step-by-step explanation:

$a = r + r^{2} + r^{3} + ....$

$a = r(1 + r + r^{2} + ...)$

$a = r( 1 + a)$        {∵ $(r + r^{2} + r^{3} + ... = a)$ }

∴ $r = \frac{a}{1+a}$

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