Home
Class 12
MATHS
The mean deviation of the series a , a+d...

The mean deviation of the series `a , a+d , a+2d ,.....,a+2nd` from its mean is (a)`((n+1)d)/(2n+1)` (b) `(n d)/(2n+1)` (c) `(n(n+1)d)/(2n+1)` (d) `((2n+1)d)/(n(n+1))`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

The mean deviation of the series a, a+d, a+2d, . . . , a+2n from its mean is -

(d^n)/(dx^n)(logx)=? (a) ((n-1)!)/(x^n) (b) (n !)/(x^n) (c) ((n-2)!)/(x^n) (d) (-1)^(n-1)((n-1)!)/(x^n)

If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is equal to (a) ((n+1)^2)/(2n) (b) ((n+1)^2)/n (c) ((n+1)^2)/2 (d) ((n+1)^2)/(4n)

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

If A_n is the area bounded by y=x and y=x^n ,n in \mathbb{N} ,then A_2 A_3 ... A_n= (a) 1/(n(n+1)) (b) 1/(2^n n(n+1)) (c) 1/(2^(n-1)n(n+1)) (d) 1/(2^(n-2)n(n+1))

The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is: a. -n d . b. a+2n d . c. a+n d . d. 2n d

The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (a). (n !)/((n-1)!(n+1)!) (b). ((2n)!)/((n-1)!(n+1)!) (c). ((2n)!)/((2n-1)!(2n+1)!) (d). none of these

The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a) 0 (b) (-1)(n-1)! (c) n !-1 (d) (-1)^(n-1)(n-1)!

The n t h derivative of the function f(x)=1/(1-x^2)[w h e r ex in (-1,1)] at the point x=0 where n is even is (a) 0 (b) n ! (c) n^n C_2 (d) 2^n C_2

The value of sum_(r=1)^(n)(-1)^(r-1)((r )/(r+1))*^(n)C_(r ) is (a) 1/(n+1) (b) 1/n (c) 1/(n-1) (d) 0

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. Sixteen players S(1), S(2), S(3),…,S(16) play in a tournament. Number ...

    Text Solution

    |

  2. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  3. The mean deviation of the series a , a+d , a+2d ,.....,a+2nd from its ...

    Text Solution

    |

  4. A letter is known to have come either from LONDON or CLIFTON. On the ...

    Text Solution

    |

  5. A coin has probability p of showing head when tossed. It is tossed n t...

    Text Solution

    |

  6. An urn contains m white and n black balls. A ball is drawn at random ...

    Text Solution

    |

  7. An unbiased dice, with faces numbered 1,2,3,4,5,6, is thrown n times...

    Text Solution

    |

  8. A box contains N coins, m of wiich are fair and the rest are biased. T...

    Text Solution

    |

  9. A bag contains b blue balls and r red balls. If two balls are drawn at...

    Text Solution

    |

  10. The chance of an event happening is the square of the chance of a seco...

    Text Solution

    |

  11. A fair coin is tossed 2n times. The change that number of times one ge...

    Text Solution

    |

  12. Two numbers are randomly selected and multiplied. Consider two events ...

    Text Solution

    |

  13. A and B are two events defined as follows: A:It rains today withP(A)...

    Text Solution

    |

  14. The probability that a married man watches certain TV show is 0.4 and ...

    Text Solution

    |

  15. P(A)=3//8; P(B)=1//2; P(AuuB)=5//8 , which of the following do/does ho...

    Text Solution

    |

  16. A bag initially contains 1 red and 2 blue balls. An experiment consi...

    Text Solution

    |

  17. Which of the following statement is/are correct? (a)Three coins are t...

    Text Solution

    |

  18. The probability that a 50-years-old man will be alive at 60 is 0.83 an...

    Text Solution

    |

  19. If four vertices a regular octagon are chosen at random, then the prob...

    Text Solution

    |

  20. Six fair dice are thrown independently. The probability that three are...

    Text Solution

    |