Home
Class 12
MATHS
The least value of n in order that the s...

The least value of n in order that the sum of first n terms of the infinite series `1+3/4+(3/4)^2+(3/4)^3+...`, should differ from the sum of the series by less than `10^-6`, is `(given log2=0.30103,log3=0.47712)`

A

14

B

27

C

53

D

57

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|20 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|9 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the first n terms of the series: 3+7+13 +21 +31 +...

Find the sum to n terms of the following series : 1+2/3 +3/3^2+4/3^3 + .......

Find the sum of n terms of the following series : 1+3+7+13 +......

Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

Find the sum of n terms of the series 1. 2. 3+2. 3. 4+3. 4. 5+

Find the sum to n terms of the following series : 3+5xx 1/4+7xx1/4^2 + .....

Find the sum of n terms of the series : 1^2 + 3^2 + 5^2 +...

Find the sum to n terms of the following series : 1+3/2+5/2^2+7/2^3 + ...........

Sum of n terms of the series 1^(3)+3^(3)+5^(3) +7^(3) + .... is