Home
Class 11
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.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

  • SETS

    JBD PUBLICATION|Exercise EXAMPLE|58 Videos

Similar Questions

Explore conceptually related problems

The sum of three consecutive numbers of an A.P. is 27 and their product is 504. Find the numbers.

The sum of three numbers in G.P. is 42. If the first two numbers are increased by 2 and third is decreased by 4, the resulting numbers form A.P. Find the numbers of G.P.

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

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 the first three consecutive terms of G.P. is 13 and the sum of their Squares is 91. Determine the G.P.

Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of an A.P.

Prove that a - 5b, a - b and a + 3b are consecutive term of an A.P.

Determine k so that : 2/3, k, 5/8 , are the three consecutive terms of an A.P.

Find the sum of 32 terms of an A.P. whose third term is 1 and the 6th term is -11.

The sum of the first three terms of an A.P. is 36 while their product is 1620. Find the A.P.

JBD PUBLICATION-SEQUENCES AND SERIES-EXAMPLE
  1. The A.M. between two positive numbers is 34 and their G.M. is 16. find...

    Text Solution

    |

  2. If a be the A.M. and x, y be the two G.M's between b and c, show that ...

    Text Solution

    |

  3. The sum of three numbers which are consecutive terms of an A.P. is 21....

    Text Solution

    |

  4. If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c...

    Text Solution

    |

  5. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

    Text Solution

    |

  6. The sum of an inifinite G.P. is 8. If the second term is 2, then find ...

    Text Solution

    |

  7. Find the sum to n terms of the series 3 xx 8 + 6 xx 11 + 9 xx 14 + …

    Text Solution

    |

  8. Find the sum of the series 1*n+2*(n-1)+3*(n-2)+4*(n-3)+"..."+(n-1)*2+n...

    Text Solution

    |

  9. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  10. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  11. If A.M and G.M of two positive numbers are 13 and 12 respectively. Fin...

    Text Solution

    |

  12. Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

    Text Solution

    |

  13. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

    Text Solution

    |

  14. If a^(2),b^(2),c^(2) are in A.P. Prove that (a)/(b+c),(b)/(c+a),(c)/(a...

    Text Solution

    |

  15. If S(1),S(2),S(3)be respectively the sum of n, 2n and 3n terms of a GP...

    Text Solution

    |

  16. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  17. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  18. The sum of two numbers is 6 times their geometric mean, show that numb...

    Text Solution

    |

  19. The sum of two numbers is 6 times their geometric mean, show that numb...

    Text Solution

    |

  20. The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...

    Text Solution

    |