Home
Class 12
MATHS
The sum of three numbers which are conse...

The sum of three numbers which are consecutive terms of an A.P. is 21. If the second number is reduced by 1 and the third is increased by 1 we obtain three consecutive terms of a G.P. Find the numbers.

A

2

B

3

C

4

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|83 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The sum of three numbers which are consecutive terms of an AP is 2 and the sum of their squares is 14/9 . Find the numbers.

The sum of three numbers which are consecutive terms of an AP is 3 and the sum of their cubes is 4. Find the numbers.

The sum of three consecutive odd numbers is 21. Find the numbers.

If 4/5,x,2 are three consecutive terms of an A.P then find x

The sum of three consecutive terms of an A.P. is 15 and sum of their squares is 83. Find the terms.

The sum of three consecutive terms of an A.P. is 30 and their product is 360. Find the terms.

If k, 2k-1 and 2k+1 are three consecutive terms of an A.P., find the value of k.

The sum of three consecutive terms of an A.P. is 21 and the sum of the squares of these terms is 165.Then product of the three terms is

The sum of three consecutive terms of an A.P. is 9 and the sum of their squares is 35. Find the terms.

If the sum of three consecutive terms of an AP is 9m, then the middle term is ____.

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. The sum of three numbers which are consecutive terms of an A.P. is 21....

    Text Solution

    |

  2. If first three terms of the sequence 1//16 ,a , b , c1//16 are in geom...

    Text Solution

    |

  3. If a,x,b are in H.P. And a,y,z,b are in G.P.,then the value of (yz)/(...

    Text Solution

    |

  4. Let x=1+a+a^2+...and y=1+b+b^2+..., where |a|<1and |b|<1. Prove that 1...

    Text Solution

    |

  5. If three distinct positive numbers a,b,c are in A.P. Such that abc=4,t...

    Text Solution

    |

  6. The value of the sum underset(i=1)overset(20)Sigmai(1/i+1/(i+1)+1/(i+2...

    Text Solution

    |

  7. Find the sum of all numbers between 200 and 400 which are divisible...

    Text Solution

    |

  8. Let a,b and c be distinct real numbers. If a,b,c are in geometric prog...

    Text Solution

    |

  9. If the sum of first n terms of two A.P.'s are in the ratio 3n+8 : 7n+1...

    Text Solution

    |

  10. A tree, in each year grows 5 cm less than it grew in the previous year...

    Text Solution

    |

  11. If (48)/(2.3)+(47)/(3.4)+(46)/(4.5)+ . . . +(2)/(48.29)+(1)/(49.50) ...

    Text Solution

    |

  12. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

    Text Solution

    |

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

    Text Solution

    |

  14. If sum(k=1)^n ɸ(k)=2n/(n+1),then sum(k=1)^10 1/(ɸ(k))is equal to

    Text Solution

    |

  15. Let a,b,c,d and e be distinct positive numbers. If a,b,c and 1/c,1/d...

    Text Solution

    |

  16. If the sum of first 15 terms of the series 3+7+14+24+37+... Is 15k, t...

    Text Solution

    |

  17. Let a1,a2,a3,a4,a5 be a G.P. Of positive real numbers such that A.M. ...

    Text Solution

    |

  18. In an ordered set of four numbers, the first 3 are A.P. And the last ...

    Text Solution

    |

  19. If e^((sin^2x+sin^4x+sin^6x+..." upto" oo)In 2) satisfies the equation...

    Text Solution

    |

  20. For distinct positive numbers a,b and c, if a^2,b^2,c^2 are in A.P. Th...

    Text Solution

    |

  21. If three real numbers a,b,c all greater than one, are in a geometrica...

    Text Solution

    |