Home
Class 11
MATHS
The A.M of the series 1, 2, 4, 8, 16…., ...

The A.M of the series 1, 2, 4, 8, 16…., `2^n ` is

A

`(2^n-1)/n`

B

`(2^(n+1)-1)/(n+1`

C

`(2^(n)+1)/(n`

D

`(2^(n)-1)/(n+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos
  • STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK |25 Videos

Similar Questions

Explore conceptually related problems

Find the nth term of the series: 1, 2, 4, 8, ……

Statement 1 : The sum of the series 1 + (1 + 2 + 4)+(4 + 6 + 9) + (9 + 12 + 16)+....+(361 + 380 + 400) is 8000 . Statement 2 : sum_(k = 1)^n (k^3 (k - 1)^3) = n^3 for any natural number n .

The A.M of 1,2,3,4,…..100 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) + ...

Calcualte the sum of the series :1+3/2+7/4+15/8+31/16+….+ t_n

If A.M., G.M., and H.M. of the first and last terms of the series of 100 , 101 , 102 ,...(n-1),n are the terms of the series itself, then the value of n is (100ltnlt500)

The common terms of the series 1+2+4+8+… and 1+4+7+10+… upto 100 terms are n, then n is -

The A.M. of 1, 2, 2^2 ,…….. 2^9 is_________(fill in the blanks)

The AM of 1,2,…….,n with frequencies 1^2 , 2^2 ,……. n^2 respectively is

Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + n terms.

PATHFINDER-STATISTICS AND MATHEMATICAL REASONING-QUESTION BANK
  1. The Standard Deviation of scores 1, 2, 3, 4, 5 is

    Text Solution

    |

  2. If the mean of the first n odd natural numbers be numbers itself, then...

    Text Solution

    |

  3. The A.M of the series 1, 2, 4, 8, 16…., 2^n is

    Text Solution

    |

  4. If the mean of the numbers x1, x2, x3,….xn is overlinex, then the mea...

    Text Solution

    |

  5. Mean of the first n terms of the A.P a,(a+d),(a+2d),…..is

    Text Solution

    |

  6. If mu is the mean of a distribution , then sumfi(yi-mu) is equal to

    Text Solution

    |

  7. If the mean of n observations 1^2, 2^2, 3^2,….n^2 is (46n)/(11) then ...

    Text Solution

    |

  8. The mean of 50 observations is 36. If two observations 30 and 42 are d...

    Text Solution

    |

  9. the weighted mean of first n natural numbers whose weights are equal ...

    Text Solution

    |

  10. A group of 10 items has mean 6 If the mean of 4 of these items is 7.5 ...

    Text Solution

    |

  11. The mean of a set of observations is overlinex If observations is div...

    Text Solution

    |

  12. The geometric mean of the first n terms of the G.P. a,ar,ar^2,….is

    Text Solution

    |

  13. The geometric mean of the observations 2, 4, 8, 16, 32, 64, is

    Text Solution

    |

  14. A boy goes to school from him home at a speed of x km/hr. and comes ba...

    Text Solution

    |

  15. Ram spends equal amounts on purchasing three kinds of pens being sold ...

    Text Solution

    |

  16. An automobile driver travels from plain to a hill station 120 km dista...

    Text Solution

    |

  17. If a, b, c, are any three positive numbers , then the least value of (...

    Text Solution

    |

  18. The median of the data 13, 14, 16, 18, 20, 22 is

    Text Solution

    |

  19. For a continuous series the mode is computed by the formula

    Text Solution

    |

  20. If mean = (3median - mode)x, then the value of x is

    Text Solution

    |