Home
Class 11
PHYSICS
The sum of the series 1+ (1)/(4) + (1)/(...

The sum of the series `1+ (1)/(4) + (1)/(16) + (1)/(64) + ...........oo` is

A

`(8)/(7)`

B

`(6)/(5)`

C

`(5)/(4)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`S_(oo) = 1+ (1)/(4) + (1)/(16) + (1)/(64) + ..............= (1)/(1- 1//4)= (4)/(3)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise DEFINITION & TYPES OF VECTOR|5 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise ADDITON & SUBTRACTION, MULTIPLICATION & DIVISION OF A VECTOR BY A SCALAR|21 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise TRIGONOMETRY|7 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

Sum of the series 1-(1)/(2)+1/(2^2)-1/(2^3)+............oo=.........

Find 1-(1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) - (1)/(32) + .......... oo

The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15)/(16)+.... is equal to

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

S_(n) be the sum of n terms of the series (8)/(5)+(16)/(65)+(24)/(325)+"......" The value of lim_(n to oo)S_n is

Find the sum of the series 1+4+10+22+...

Examine the continuity at x =0 of the sum function of the infinite series: x /( 1+x) + x / ((x+1)(2x+1)) + x/((2x+1)(3x+1)) + ........................oo

Find 1+(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+(1)/(32)+......oo

Find the sum of infinity of the G.P., (-5)/(4), (5)/(16), (-5)/(64),..