Home
Class 11
MATHS
IF a(1),a(2),a(3),"...."a(10) be in AP a...

IF `a_(1),a_(2),a_(3),"...."a_(10)` be in AP and `h_(1),h_(2),h_(3),"...."h_(10)` be in HP. If `a_(1)=h_(1)=2` and `a_(10)=h_(10)=3`, then find value of `a_(4)h_(7)`.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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_(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)

If a_(1), a_(2), a_(3),…, a_(40) are in A.P. and a_(1) + a_(5) + a_(15) + a_(26) + a_(36) + a_(40) = 105 then sum of the A.P. series is-

If positive integers a_(1), a_(2), a_(3),… are ion A.P. such that a_(8) +a_(10) =24, then the value of a_(9) is-

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))

Suppose a_(1), a_(2) , .... Are real numbers, with a_(1) ne 0 . If a_(1), a_(2), a_(3) , ... Are in A.P., then

If A_(1), A_(2),..,A_(n) are any n events, then

Let a_(1), a_(2),…. and b_(1),b_(2),…. be arithemetic progression such that a_(1)=25 , b_(1)=75 and a_(100)+b_(100)=100 , then the sum of first hundred term of the progression a_(1)+b_(1) , a_(2)+b_(2) ,…. is equal to

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

a_(1), a_(2),a_(3) in R - {0} and a_(1)+ a_(2)cos2x+ a_(3)sin^(2)x=0 " for all " x in R then

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

    Text Solution

    |

  2. Find the value of k for which k+12, k-6, 3 are in GP.

    Text Solution

    |

  3. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  4. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  5. If a,b,c are in GP, Prove that, a(b^2+c^2) =c(a^2+b^2)

    Text Solution

    |

  6. If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c ...

    Text Solution

    |

  7. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  8. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  9. The third term of a geometric progression is 4. Then the product of t...

    Text Solution

    |

  10. In triangle ABC medians AD and CE are drawn, if AD=5, angleDAC= pi/8 a...

    Text Solution

    |

  11. If tk is the kth term of a G.P., then show that t(n - k), tn, t(n + k)...

    Text Solution

    |

  12. If pth, qth, and rth term of an AP are equal to corresponding terms of...

    Text Solution

    |

  13. Sum of 1/(sqrt(2)+sqrt(5))+1/(sqrt(5)+sqrt(8))+1/(sqrt(8)+sqrt(11))+1/...

    Text Solution

    |

  14. If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find it...

    Text Solution

    |

  15. If a,b, c are in GP, Prove that a^2, b^2 , c^2 are in GP.

    Text Solution

    |

  16. If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P....

    Text Solution

    |

  17. If (p^2+q^2), (pq+qr), (q^2+r^2) are in GP then Prove that p, q, r are...

    Text Solution

    |

  18. The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...

    Text Solution

    |

  19. Let S denote sum of the series 3/(2^3)+4/(2^4 .3)+5/(2^6 .3)+6/(2^7 .5...

    Text Solution

    |

  20. Let the sum of first three terms of G.P. with real terms be 13/12 and ...

    Text Solution

    |