Home
Class 12
MATHS
If are the n Arithmetic means between a...

If are the `n` Arithmetic means between `a` and `b`, then `2sum_(I - 1)^(n)a_(i) = `

A

`ab`

B

`n(a + b)`

C

`nab`

D

`(a + b)/n`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos
  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

If a_(1),a_(2),a_(3),……a_(87),a_(88),a_(89) are the arithmetic means between 1 and 89 , then sum_(r=1)^(89)log(tan(a_(r ))^(@)) is equal to

If (a^(n + 1) + b^(n + 1))/(a^(n) + b^(n)) is the arithmetic mean between a and b , then n =

If a_(1), a_(2), a_(3), a_(4), a_(5) and a_(6) are six arithmetic means between 3 and 31, then a_(6) - a_(5) and a_(1) + a_(6) are respectively =

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.

If n arithmetic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200. Then find the value of ndot

Let a_(1), a_(2), a_(3),..., a_(100) be an arithmetic progression with a_(1) = 3 and S_(p) = sum_(i=1)^(p) a_(i), 1 le p le 100 . For any integer n with 1 le n le 20 , let m = 5n . If (S_(m))/(S_(n)) does not depend on n, then a_(2) is equal to ....

Let a_(1), a_(2) ...be positive real numbers in geometric progression. For n, if A_(n), G_(n), H_(n) are respectively the arithmetic mean, geometric mean and harmonic mean of a_(1), a_(2),..., a_(n) . Then, find an expression for the geometric mean of G_(1), G_(2),...,G_(n) in terms of A_(1), A_(2),...,A_(n), H_(1), H_(2),..., H_(n)

If a_1,a_2,a_3,... are in A.P. and a_i>0 for each i, then sum_(i=1)^n n/(a_(i+1)^(2/3)+a_(i+1)^(1/3)a_i^(1/3)+a_i^(2/3)) is equal to

If the arithmetic mean of the numbers x_1, x_2, x_3, ..., x_n is barx, then the arithmetic mean of the numbers ax_1 +b, ax_2 +b, ax_3 +b, ....,ax_n +b, where a, b are two constants, would be

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. If 1 + (1 + 2)/2 + (1 + 2 + 3)/3 + ...... to n terms is s, then s is e...

    Text Solution

    |

  2. If a, b, and c are in A.P., then which one of thew following is not tr...

    Text Solution

    |

  3. If are the n Arithmetic means between a and b, then 2sum(I - 1)^(n)a(...

    Text Solution

    |

  4. If the third term of a G.P is P. Then the Product of the first 5 terms...

    Text Solution

    |

  5. The sum to n terms of the series 4/3 + 10/9 + 28/27 + ……. is

    Text Solution

    |

  6. A long a road lie an odd number of stones placed at intervals of 10 me...

    Text Solution

    |

  7. Suppose you are appointed to a post carrying a scale of pay of Rs. 800...

    Text Solution

    |

  8. The quardritic equation in x such that the arithmetic mean of its roo...

    Text Solution

    |

  9. If the sum of n terms of the series 2^(3) + 4^(3) + 6^(3) + ......... ...

    Text Solution

    |

  10. ………… term of the G.P. 3, 3sqrt(3),9 ...... is 2187

    Text Solution

    |

  11. A ball is dropped from a height of 48 meters and rebounds 2/3 of the d...

    Text Solution

    |

  12. The sum of 15^(2) + 16^(2) + 17^(2) + ....... + 30^(2) =

    Text Solution

    |

  13. If a(1), a(2), a(3), a(4), a(5) and a(6) are six arithmetic means betw...

    Text Solution

    |

  14. The sum to n terms of the series 1 + (1 + 3) + (1 + 3 + 9) + (1 + 3 + ...

    Text Solution

    |

  15. If x, y, z are in A.P then 1/(sqrt(x) + sqrt(y)) , 1/(sqrt(z) + sqrt(x...

    Text Solution

    |

  16. The product of (32)(32)^(1//6)(32)^(1//36) …….. To infty is

    Text Solution

    |

  17. If A.M and G.M of x and y are in the ratio p:q, then x:y is

    Text Solution

    |

  18. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  19. In an arithmetic progression, the 24^(th) term is 100. Then the sum of...

    Text Solution

    |

  20. If a, b and c are in geometric progression and the roots of the equati...

    Text Solution

    |