Home
Class 10
MATHS
Let a,b,c,d and e be five real numbers s...

Let a,b,c,d and e be five real numbers such that a,b,c are in AP, b,c,d are GP, c,d,e are in H.P. If `a=2` and `e=18` then find all possible values of b,c and d.

A

`b=6,c=4,d=3`

B

`b=4,c=6,d=9`

C

`b=-6,c=-2,d=9`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos
  • PROGRESSIONS

    CENGAGE|Exercise TEST YOURSELF (Level 3) |15 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos
  • QUADRATIC EQUATIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |10 Videos

Similar Questions

Explore conceptually related problems

Given a,b,c are in A.P.b,c,d are in G.P.and c,d,e are in H.P. If a=2 adn e=18, then the sum of all possible value of c is

Given a,b,c are in A.P. b,c,d are in G.P. and c,d,e are in H.P. if a =2 and e =18, then the possible value of 'c' can be :

Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 and e=18 , then the sum of all possible value of c is ________.

If a,b,c,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP & c,d,e are in HP then prove that a,c,e are in GP

If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

If a,b,c,d,e are five positive numbers, then

If a,b,c are is AP; b,c,d are is GP and c,d, c are is H.P then a,c,c are is

CENGAGE-PROGRESSIONS -TEST YOURSELF (Level 3) (Multiple Choice Questions)
  1. How many terms of the series 20+19(1)/(3)+18(2)/(3)+ . . . must be ta...

    Text Solution

    |

  2. If N be the set of natural numbers is partitioned into groups S(1)=(1)...

    Text Solution

    |

  3. If (1+3+5+ . . .+p)+(1+3+5+ . . .+q)=(1+3+5+ . . .+r), where each set ...

    Text Solution

    |

  4. Let alpha,beta be roots of the equations x^(2)-2x+A=0 and gamma,delta ...

    Text Solution

    |

  5. If a,b,c and d are distinct integers which form an increasing AP such ...

    Text Solution

    |

  6. If the p^(th), q^(th) and r^(th) terms of an A.P. be a, b, c respectiv...

    Text Solution

    |

  7. Let S(n) denotes the sum of n terms of an AP. If S(2n)=3S(n), then the...

    Text Solution

    |

  8. If a(1),a(2),a(3), . . .,a(n) are in AP, where a(i)gt0 for all i, the...

    Text Solution

    |

  9. If m+n)th and (m-n)th terms of a GP are p and q, respectively, then th...

    Text Solution

    |

  10. Find the sum up to n terms of the series a+aa+aaa+aaaa+ . . ., AA a in...

    Text Solution

    |

  11. Find the sum up to n terms of the series 0.b+0.bb+0.bbb+0.bbbb+ . . .,...

    Text Solution

    |

  12. Let x(1),x(2) be the roots of the equation x^(2)-3x+A=0 and let x(3),x...

    Text Solution

    |

  13. Let a,b,c be in AP and a^(2),b^(2),c^(2) be in GP. agtbgtc and a+b+c=3...

    Text Solution

    |

  14. Let a,b,c,d and e be five real numbers such that a,b,c are in AP, b,c,...

    Text Solution

    |

  15. Find n so that (a^(n+1)+b^(n+1))/(a^(n)+b^(n)) be the AM be and b. (if...

    Text Solution

    |

  16. There are n AM's between 3 and 54 such that 8^(th) mean is to (n-2)^("...

    Text Solution

    |

  17. Find n, so that (a^(n+1)+b^(n+1))/(a^(n)+b^(n))(a!=b) is the GM betwee...

    Text Solution

    |

  18. Find n, so that (a^(n+1)+b^(n+1))/(a^(n)+b^(n))(a!=b) be the HM betwe...

    Text Solution

    |

  19. If a,b and c are in AP then the value of a^(2)(b+c)+b^(2)(c+a)+c^(2)(a...

    Text Solution

    |

  20. Sum of the first n terms of the series 1/2+3/4+7/8+15/16+ . . . is equ...

    Text Solution

    |