Home
Class 11
MATHS
Sum of n terms of the series 8+88+888+.....

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

A

`8/81[10^(n+1)-9n-10]`

B

`8/81[10^n-9n-10]`

C

`8/81[10^(n+1)-9n+10]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

Prove that when 1 is added to the sum of n terms of the series {8+16+24+…}, the result will be perfect square.

Find the sum to n terms of the series : 5+11+19+29+41..........

Find the sum of n term of the series 2+4+7+11+16+.....

Find the sum of n terms of the series 3+7+14+24+37+.....

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

Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n)xxsecx/(2^(n-1)dot)

The sum of first n terms of the series a + ar + ar^(2) +…+ ar^(n-1) +… oo is -

If S denotes the sum to infinity and S_n the sum of n terms of the series 1+1/2+1/4+1/8+ , such that S-S_n<1/(1000), then the least value of n is 8 b. 9 c. 10 d. 11

Find the sum of n terms of the series 1/2.5+1/5.8+1/8.11 …to n terms.

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

  6. 1/2+3/4+7/8+15/16+..... t o n terms =

    Text Solution

    |

  7. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. 1+2.2+3.2^2+4.2^3+....100.2^99 equals

    Text Solution

    |

  13. If A1,A2 be two AM's and G1,G2 be the two GM's between two number a an...

    Text Solution

    |

  14. If H1,H2,H3,.......Hn be n harmonic means between a and b then (H1+a)...

    Text Solution

    |

  15. If a,b,c are in AP and a^2,b^2,c^2 are in HP, then

    Text Solution

    |

  16. If between 1 and 1/31 there are n H.M's and ratio of 7th and (n-1)^th ...

    Text Solution

    |

  17. (a^(n+1)+b^(n+1))/(a^n+b^n) is AM/GM/HM, between a and b if n is equal...

    Text Solution

    |

  18. Sum of infinite terms of series 3+5. 1/4+7. 1/4^2+..... is

    Text Solution

    |

  19. The value of x for which 1/(1+sqrtx),1/(1-x),1/(1-sqrtx) are in AP li...

    Text Solution

    |

  20. If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c ar...

    Text Solution

    |