Home
Class 12
MATHS
Let a(1), a(2),"…..",a(10) be in A.P. an...

Let `a_(1), a_(2),"…..",a_(10)` be in A.P. and `h_(1) ,h_(2),"…….",h_(10)` be in H.P.
If `a_(1) = h_(1) = 2 ` and `a_(10) = h_(10) = 3` , then `a_(4)h_(7)` is `:`

A

2

B

3

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

Let a_(1),a_(2),"...." be in AP and q_(1),q_(2),"...." be in GP. If a_(1)=q_(1)=2 " and "a_(10)=q_(10)=3 , then

In an AP : given a_(3) = 15, S_(10) = 125 , find d and a_(10) .

If a_(1)=2 and a_(n)=2a_(n-1)+5 for ngt1 , the value of sum_(r=2)^(5)a_(r) is

If a_(1) , a_(2) , a_(3),"………."a_(n) are in H.P. , then a_(1), a_(2) + a_(2) a_(3) + "………" + a_(n-1)a_(n) will be equal to :

Let ( a_(n) ) be a G.P. such that ( a_(4))/( a_(6)) =( 1)/( 4) and a_(2) + a_(5) = 216 . Then a_(1) =

If lt a_(n) gt is an A.P. and a_(1) + a_(4) + a_(7) + "………." + a_(16)= 147 , then a_(1) + a_(6) + a_(11) + a_(16) equals :

If a_(1) , a_(2), "……………" a_(n) are in H.P., then the expression a_(1) a_(2) + a_(2) a_(3)+"…….."+ a_(n-1) a_(n) is equal to :

8,A_(1),A_(2),A_(3),24.

If a_(1), a_(2) ,a_(3)"….." is an A.P. such that : a_(1) + a_(5) + a_(10)+a_(15)+a_(20)+a_(24)=225 , then a_(1) + a_(2)+a_(3) +"….." a_(23) + a_(24) is :

If a_(1),a_(2),a_(3),".....",a_(n) are in HP, than 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)

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. If a,b,c,d and p are distinct non -zero real numbers such that : ( a...

    Text Solution

    |

  2. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  3. Let a(1), a(2),"…..",a(10) be in A.P. and h(1) ,h(2),"…….",h(10) be in...

    Text Solution

    |

  4. The sum of : (x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)...

    Text Solution

    |

  5. If x(1), x(2),"……….",x(n) are n non zero real numbers such that (x(1)^...

    Text Solution

    |

  6. For 0 lt theta lt ( pi )/(2) , if x = sum(n=0)^(oo)cos^(2n) theta, y =...

    Text Solution

    |

  7. If a(1), a(2) ,a(3)"….." is an A.P. such that : a(1) + a(5) + a(10)+...

    Text Solution

    |

  8. If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...

    Text Solution

    |

  9. If sin alpha, sin^(2) alpha, 1,sin^(4) alpha, sin^(5) alpha, ( - pi lt...

    Text Solution

    |

  10. If A,G and H are respectively A.M.,G.M. and H.M. of three positive num...

    Text Solution

    |

  11. x+y+z = 15 if 9, x,y,z,a are in A.P., while (1)/( x) + ( 1)/( y) + ( ...

    Text Solution

    |

  12. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

    Text Solution

    |

  13. Let a^(n) be the nth term of the G.P. of positive numbers. Let sum(n=1...

    Text Solution

    |

  14. Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N ...

    Text Solution

    |

  15. For any odd integer n ge1, n^(3) - ( n - 1)^(3) + "….." + ( -1)^(n-1)1...

    Text Solution

    |

  16. The sum to infinity of the series : 1+2 ( 1-(1)/( n )) + 3( 1 - ( 1)...

    Text Solution

    |

  17. If a,b,c are digits, then the rational number represented by 0.c ab ab...

    Text Solution

    |

  18. If I(n) = int(0)^(n) ( 1- sin 2nx)/( 1-cos 2n)dx then I(1) , I(2) , I(...

    Text Solution

    |

  19. If p,q,r , three positive real numbers are in A.P., then the roots of ...

    Text Solution

    |

  20. If a(1),a(2) , a(3),"……..",a(n) are in H.P. , then : (a(1))/( a(2) ...

    Text Solution

    |