If $y = x + x^2 + x^3 + \dots \infty$,then $x = $

  • A
    $\frac{y}{1 + y}$
  • B
    $\frac{1 - y}{y}$
  • C
    $\frac{y}{1 - y}$
  • D
    None of these

Explore More

Similar Questions

The sum of an infinite $G.P.$ with common ratio $r$ can be found if:

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

The sum of the integers from $1$ to $100$ which are not divisible by $3$ or $5$ is

Let $b_1, b_2, \dots, b_n$ be a geometric sequence such that $b_1 + b_2 = 1$ and $\sum_{k=1}^{\infty} b_k = 2$. Given that $b_2 < 0$,then the value of $b_1$ is:

If the sum of the first $6$ terms is $9$ times the sum of the first $3$ terms of the same $G.P.$,then the common ratio of the series will be

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo