Home
Class 11
MATHS
The sum to infinity of the series 1+2/3+...

The sum to infinity of the series `1+2/3+6/3^2+10/3^3+14/3^4+....`

A

2

B

3

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

If the sum to infinity of the series 3+(3+d)1/4+(3+2d)1/(4^2)+......oo is (44)/9 , then find d ddot

If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then value of r is (a) 1//2 b. 1//3 c. 1//4 d. none of these

Find the sum to infinity of the series 1^2+2^2x+3^2x^2+oodot

If the sum to infinity to the series 1+4x+7x^2+10x^3+..... is 35/16 the value of x is

Find the sum of the infinite series 1+(2)/(3)+(3)/(3^2)+(4)/(3^3) +........

Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

The sum of the series 1^3 - 2^3 + 3^3 - ....+ 9^3 =

If tan theta =sqrt((3)/(2)), then the sum of infinity of the series, 1+2 (1-cos theta ) + 3 (1-cos theta ) ^(2) +4(1- cos theta )^(3)+… is-

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

Find the sum to n terms of the series : 1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ...

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Let S=8/5+16/65+......128/(2^18+1) then

    Text Solution

    |

  2. The sum of the infinite terms of the series 5/(3^2. 7^2)+9/(7^2. 11^2)...

    Text Solution

    |

  3. The sum to infinity of the series 1+2/3+6/3^2+10/3^3+14/3^4+....

    Text Solution

    |

  4. The sum to n terms of the series 1+2(1+1/n)+3(1+1/n)^2+....... is give...

    Text Solution

    |

  5. For absx lt1 the value of 1+3x+6x^2+10x^3+.....t o infty is

    Text Solution

    |

  6. If pth, qth, and rth term of an AP are equal to corresponding terms of...

    Text Solution

    |

  7. If a,b,c are positive real number, then the least value of (a+b+c)(1/a...

    Text Solution

    |

  8. An infinite GP has first term x and sum 5, then x belongs to

    Text Solution

    |

  9. 2^(1/4),2^(2/8),2^(3/16),2^(4/32)......infty is equal to

    Text Solution

    |

  10. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

    Text Solution

    |

  11. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...

    Text Solution

    |

  12. Sum of n terms of the series 8+88+888+....equals

    Text Solution

    |

  13. The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6...

    Text Solution

    |

  14. The sum of integer in between 1 to 100 which is divisible by 2 or 5 is

    Text Solution

    |

  15. 1/2+3/4+7/8+15/16+..... t o n terms =

    Text Solution

    |

  16. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  17. If x in{1,2,3......9} and fn(x) =x x x ...x (n digits ), then fn^2(3)+...

    Text Solution

    |

  18. Four no. are in AP . If their sum is 20 and the sum of their squares i...

    Text Solution

    |

  19. Sum of n terms of series 1.3+3.5+5.7+....is

    Text Solution

    |

  20. If the sum of an infinitely decreasing GP is 3, and the sum of the squ...

    Text Solution

    |