Home
Class 12
MATHS
If a(1), a(2) , a(3),…,a (n+1) are in A...

If `a_(1), a_(2) , a_(3),…,a _(n+1)` are in A. P. then the value of `(1)/(a _(1)a_(2))+(1)/(a_(2)a_(3))+(1)/(a_(3)a_(4))+...+(1)/(a_(n)a_(n+1))` is-

A

`(n-1)/(a_(1) a_(n+1))`

B

`(1)/(a_(a) a _(n+1))`

C

`(n)/(a_(1) a_(n+1))`

D

`(n+1)/(a_(1)a_(n+1))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 3|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If a_(1), a_(2), a_(3),…, a_(n) be in A.P. Show that, (1)/(a_(1)a_(2)) + (1)/(a_(2)a_(3)) +….+(1)/(a_(n-1)a_(n)) = (n-1)/(a_(1)a_(n))

If a_(1) ge 0 for all t and a_(1), a_(2), a_(3),….,a_(n) are in A.P. then show that, (1)/(a_(1)a_(3)) + (1)/(a_(3)a_(5)) +...+ (1)/(a_(2n-1).a_(2n+1)) = (n)/(a_(1)a_(2n+1))

If a_(1), a_(2),…,a_(n) are in G.P., then show that (1)/(a_(1)^(2) - a_(2)^(2)) + (1)/(a_(2)^(2) - a_(3)^(2))+...+ (1)/(a_(n-1)^(2) - a_(n)^(2)) = (r^(2))/((1-r^(2))^(2))[(1)/(a_(n)^(2))-(1)/(a_(1)^(2))]

If a_(1) ge 0 for all t and a_(1), a_(2), a_(3),….,a_(n) are in A.P. then show that, (1)/(sqrt(a_(1))+sqrt(a_(2)))+(1)/(sqrt(a_(2))+sqrt(a_(3)))+ (1)/(sqrt(a_(n-1))+sqrt(a_(n))) = (n-1)/(sqrt(a_(1))+sqrt(a_(n)))

If a_(1), a_(2), a_(3), …., a_(n) are in H.P., prove that, a_(1)a_(2) + a_(2)a_(3) + a_(3)a_(4) +…+ a_(n-1)a_(n) = (n-1)a_(1)a_(n)

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(4000)=50 . Then |a_(1)-a_(4001)| is equal to

If a_(1) = 2 and a_(n) - a_(n-1) = 2n (n ge 2) , find the value of a_(1) + a_(2) + a_(3)+…+a_(20) .

If a_(1),a_(2)a_(3),….,a_(15) are in A.P and a_(1)+a_(8)+a_(15)=15 , then a_(2)+a_(3)+a_(8)+a_(13)+a_(14) is equal to

If a_(1), a_(2), a_(3),…, a_(2k) are in A.P., prove that a_(1)^(2) - a_(2)^(2) + a_(3)^(2) - a_(4)^(2) +…+a_(2k-1)^(2) - a_(2k)^(2) = (k)/(2k-1)(a_(1)^(2) - a_(2k)^(2)) .

If the coefficients of the consicutive four terms in the expansion of (1+x)^(n)" be "a_(1),a_(2),a_(3)and a_(4) respectively , show that , (a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))=2.(a_(2))/(a_(2)+a_(3)).

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 5
  1. The value of (""^(n) C(1)+2. ""^(n) C(2)+3. ""^(n)C(3)+…+ n""^(n)C(n))...

    Text Solution

    |

  2. If ab = 2a +3b, a gt0, b gt 0, then the minimum value of ab is-

    Text Solution

    |

  3. If a(1), a(2) , a(3),…,a (n+1) are in A. P. then the value of (1)/(a ...

    Text Solution

    |

  4. IF first term of an infinite G.P. is x and its sum is 5, then-

    Text Solution

    |

  5. If the sum of first n terms of an A.P. series is n^(2) +2n, then the ...

    Text Solution

    |

  6. Everybody in a room shake hands with everybody else. If the total numb...

    Text Solution

    |

  7. If a,b,c,d ar all real numbers and (a^(2) +b^(2)) d^(2)-2(a+c) bd + (b...

    Text Solution

    |

  8. The coefficient of x^(6) in the explanation of (x^(2) +x-1)^(4) is-

    Text Solution

    |

  9. How many nine digit numbers can be formed using the digits 2,2,3,3,5,5...

    Text Solution

    |

  10. If omega is a non-ral cube root of unity then the value of (a+b) (a+b ...

    Text Solution

    |

  11. The chanve of throwing a total of 8 with two dice is-

    Text Solution

    |

  12. If (1+i) is a root of the equation x^(3) -5x ^(2) +9x -6 =0, then its ...

    Text Solution

    |

  13. Three numbers a,b,c are such that (a^(2) +ab+b ^(2))/(ab +bc +ca) =(a+...

    Text Solution

    |

  14. The complex numbers 1,-1 and isqrt3 from a triangle which is-

    Text Solution

    |

  15. Two roots of the quadratic equation x^(2) +(i -5)x +18 +i =0 are -

    Text Solution

    |

  16. The digit in the unit's place of the number [(183)! +3 ^(183)] is-

    Text Solution

    |

  17. If in the expansion of (1+x)^(n) the coefficient of 2nd, 3rd and 4th ...

    Text Solution

    |

  18. If 2(1- x) ge 3x+17, state which of the following true-

    Text Solution

    |

  19. In a distribution, coefficient of variation =5% and variance =4, then ...

    Text Solution

    |

  20. If a straight line passing through the focus of the parabola x ^(2) =4...

    Text Solution

    |