Home
Class 12
MATHS
The number a, b and c are between 2 and ...

The number a, b and c are between 2 and 18, such that
(i) their sum is 25
(ii) the numbers 2,a and b are consecutive terms of and A.P
(iii) the numbers b,c 18 are consecutive terms of a G.P
The value of abc is

A

17

B

18

C

20

D

34

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

Find three numbers a, b,c between 2 & 18 such that; O their sum is 25 @ the numbers 2, a, b are consecutive terms of an AP & Q.3 the numbers b?c?18 are consecutive terms ofa GP

Find three numbers a,b,c between 2 & 18 such that; their sum is 25; the numbers 2,a,b are consecutive terms of an AP & the numbers b,c,18 are consecutive terms of a G.P.

Find three numbers a, b, c between 2 and 18 such that: (i) their sum is 25, and (ii) the numbers 2, a, b are consecutive terms of an arithmetic progression, and (iii) the numbers b, c, 18 are consecutive terms of a geometric progression.

If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find the value of a .

If 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an A.P., prove that a ,b ,c are the three consecutive terms of a G.P.

Three numbers a, b and c are in between 2 and 18 such that 2, a, b are in A.P. and b, c, 18 are in G.P . If a+b+c=25 , then the value of c-a is

If a, b, c are three consecutive terms of an A.P. and x,y,z are three consecutive terms of a G.P., then prove that x^(b-c) . y^(c-a).z^(a-b)=1

If second, third and sixth terms of an A.P. are consecutive terms of a G.P. write the common ratio of the G.P.

The numbers t (t ^(2) +1) , -1/2t ^(2) and 6 are three consecutive terms of an A.P. If t be real, then find the the next two terms of A.P.

If (1)/(x+y), (1)/(2y) , (1)/(y+z) are the three consecutive terms of an A.P. prove that x ,y,z are the three consecutive terms of a G.P.

VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
  1. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2, h1, ...

    Text Solution

    |

  2. If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab...

    Text Solution

    |

  3. The number a, b and c are between 2 and 18, such that (i) their su...

    Text Solution

    |

  4. three number a,b,c are in GP such that : (i) a+b+c=70 (ii) 4a,5b,4c a...

    Text Solution

    |

  5. If tr denotes the r^(th) term of an G.P. and t1 t5 t10 t16 t21 t25 ...

    Text Solution

    |

  6. The summation of series sum(r=1->99) 1/(sqrt(r+1)+sqrtr) is:

    Text Solution

    |

  7. If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a...

    Text Solution

    |

  8. If sum of first n terms of a series is n/(n+1) find 1/(T8)where T8 is ...

    Text Solution

    |

  9. if (1+3+5+7+....(2p-1))+(1+3+5+...+(2q-1)) =1+3+5+...+(2r -1), then le...

    Text Solution

    |

  10. If S1 ,S2 and S3 denote the sum of first n1,n2 and n3 terms respec...

    Text Solution

    |

  11. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a ...

    Text Solution

    |

  12. Let a1,a2 ,a3 …..be in A.P. and ap, aq , ar be in G.P. Then aq : ap ...

    Text Solution

    |

  13. If underset(r=1)overset(n)Sigma r(r+1)(2r +3)=an^4+bn^3+cn^2+dn +e th...

    Text Solution

    |

  14. If cos(x-y), cosx and cos(x+y) are in H.P., then |cos x sec (y)/(2)| e...

    Text Solution

    |

  15. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)dot

    Text Solution

    |

  16. If a1,a2 …. an are positive real numbers whose product is a fixed re...

    Text Solution

    |

  17. If 3+5x + 7x^2…., oo term s=44/9 , then x is equal to:

    Text Solution

    |

  18. If a(1), a(2), …..,a(n) are in A.P. with common difference d ne 0, the...

    Text Solution

    |

  19. Let a1,a2,a3 …. an be in A.P. If 1/(a1an)+1/(a2a(n-1))+… + 1/(an a...

    Text Solution

    |

  20. Sum to infinity of the series 2/3 - 5/6 + 2/3 -11/24 +….. Is

    Text Solution

    |