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

pth,qth and rth terms of A.P are in A.P

B

pth,qth,and rht terms of G.P are in G.P

C

pth , qth , and rht terms of H.P are in H.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
If p,q,r are in A.P., then pth,qth and rth, terms are equidistant terms which are always in the same series of which they are terms.
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise EXERCIESE ( LINKED COMPREHENSION TYPE )|60 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise EXERCIESE ( MATRIX MATCH TYPE )|3 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise EXERCIESE ( SINGLE CORRECT ANSWER TYPE )|93 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

Similar Questions

Explore conceptually related problems

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 the value of x such that, (i) -2/7, x, -7/2 are three consecutive terms of a G.P.

If x,x^(2) and 8 are three consecutive terms of G.P. then which of the following is the value of x ?

If a=2 and e=18 , then find three numbers b,c,d betweem a and e such that (i) their sum is 25, (ii) 2,b,c are in A.P. (iii) c,d, 18 are in G.P.

If the sum of three consecutive numbers in A.P., is 24 and their product is 440, find the numbers.

Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non-constant A.P.. If these are also the three consecutive terms of a G.P., then (a)/(c ) is equal to

The sum of n terms of an A.P. is 3n^(2) + 5n . Find the number of the term which is equal to 152.

If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal and their nth term are a,b,c respectively,then

The sum of three numbers in A.P. is 18. If 2, 2, 6 are added respectively to 1st, 2nd and 3rd numbers, the resulting numbers are in G.P. Find the numbers.

The sum of three consecutive numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.

CENGAGE PUBLICATION-PROGRESSION AND SERIES-EXERCIESE ( MULTIPLE CORRECT ANSWER TYPE )
  1. The sum of four numbers in A.P. is 28 and the sum of their squares is ...

    Text Solution

    |

  2. The common difference of the divisible by

    Text Solution

    |

  3. Consider the sequence in the form of group (1),(2,2)(3,3,3),(4,4,4,4),...

    Text Solution

    |

  4. Consider the sequence in the form of group (1),(2,2)(3,3,3),(4,4,4,4),...

    Text Solution

    |

  5. Consider the sequence in the form of group (1),(2,2)(3,3,3),(4,4,4,4),...

    Text Solution

    |

  6. There are two sets A and B each of which consists of three numbers in ...

    Text Solution

    |

  7. There are two sets A and B each of which consists of three numbers in ...

    Text Solution

    |

  8. There are two sets M1 and M2 each of which consists of three numbers i...

    Text Solution

    |

  9. Let A1,A2,A3,….,Am be the arithmetic means between -2 and 1027 and G1,...

    Text Solution

    |

  10. Let A1,A2,A3,….,Am be the arithmetic means between -2 and 1027 and G1,...

    Text Solution

    |

  11. Let A1,A2,A3,….,Am be the arithmetic means between -2 and 1027 and G1,...

    Text Solution

    |

  12. Two consecutive numbers from 1, 2, 3, ..., n are removed, then arithme...

    Text Solution

    |

  13. Two consecutive numbers from 1,2,3 …., n are removed.The arithmetic me...

    Text Solution

    |

  14. Two consecutive numbers from 1,2,3 …., n are removed .The arithmetic m...

    Text Solution

    |

  15. Two arithmetic progressions have the same numbers. The reatio of the l...

    Text Solution

    |

  16. Two arithmetic progressions have the same numbers. The reatio of the l...

    Text Solution

    |

  17. Two arithmetic progressions have the same numbers. The reatio of the l...

    Text Solution

    |

  18. Find three numbers a, b,c between 2 & 18 such that; O their sum is 25 ...

    Text Solution

    |

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

    Text Solution

    |

  20. If a, b and c are roots of the equation x^3+qx^2+rx +s=0 then the v...

    Text Solution

    |