Vedclass
Class 11MathematicsSequences and Seriesnth term of special series, Sum to n terms and Infinite number of terms
Medium

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

  • A
    For all values of $r$
  • B
    For only positive values of $r$
  • C
    Only for $0 < r < 1$
  • D
    Only for $-1 < r < 1$ $(r \ne 0)$
Share

Explore More

Browse All

Question Bank

11

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Sequences and Series

Subtopic

nth term of special series, Sum to n terms and Infinite number of terms

Similar Questions

The mean of $10$ numbers $7 \times 8, 10 \times 10, 13 \times 12, 16 \times 14, \ldots$ is ....... .

DifficultJEE MAIN 2021
View Solution

If $\frac{1^3+2^3+3^3+\ldots \text{ upto } n \text{ terms}}{1 \cdot 3+2 \cdot 5+3 \cdot 7+\ldots \text{ upto } n \text{ terms}} = \frac{9}{5}$,then the value of $n$ is

DifficultJEE MAIN 2023
View Solution

If the $n^{th}$ term of a sequence is $T_n = 2n - 1$,then the sum of $n$ terms $S_n = \dots$

Easy
View Solution

The sum of the series $1 \cdot 3^2 + 2 \cdot 5^2 + 3 \cdot 7^2 + \dots$ up to $20$ terms is

MediumIIT 1973
View Solution

The sum of the series $1 + 3x + 6x^2 + 10x^3 + \dots \infty$ is

Medium
View Solution

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