Home
Class 11
MATHS
The sum of three numbers in G.P. is 56. ...

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
8,16,32
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise EXERCISE 9.4|10 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

  • SETS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|26 Videos

Similar Questions

Explore conceptually related problems

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

The product of three increasing numbers in GP is 5832. If we add 6 to the second number and 9 to the third number, then resulting numbers form an AP. Find the number in GP.

The sum of three numbers is 20. If we multiply the third number by 2 and add the first number to the result we get 23. By adding second and third numbers to 3 times the first number we get 46. Find the numbers using Cramer's rule.

Three numbers are in G.P. whose sum is 70. If the extremes be each multiplied by 4 and the means by 5, they will be in A.P. Find the numbers.

A number consists of two digits whose product is 56. When 9 is subtracted from the number, the digits interchange their places. Find the number.

NCERT TAMIL-SEQUENCES AND SERIES-Miscellaneous Exercise On Chapter 9
  1. The sum of some terms of G.P. is 315 whose first term and the common r...

    Text Solution

    |

  2. The first term of a G.P. is 1. The sum of the third term and fifth ter...

    Text Solution

    |

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

    Text Solution

    |

  4. A G.P. consists of an even number of terms. If the sum of all the term...

    Text Solution

    |

  5. The sum of the first four terms of an A.P. is 56. The sum of the last ...

    Text Solution

    |

  6. If (a+bx)/(a-bx)=(b-cx)/(b-cx)=(c+dx)/(c-dx)( x ne 0) then show that ...

    Text Solution

    |

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

    Text Solution

    |

  8. The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectiv...

    Text Solution

    |

  9. If a(1/b + 1/c), b(1/c + 1/a), c(1/a + 1/b) are in A.P., prove that a,...

    Text Solution

    |

  10. If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...

    Text Solution

    |

  11. If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^...

    Text Solution

    |

  12. The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...

    Text Solution

    |

  13. If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P...

    Text Solution

    |

  14. Find the sum of the following series up to n terms: (i) 5+55+555+......

    Text Solution

    |

  15. Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + ...

    Text Solution

    |

  16. Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +......

    Text Solution

    |

  17. If S1, S2, S3 are the sum of first n natural numbers, their squares a...

    Text Solution

    |

  18. Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/...

    Text Solution

    |

  19. Show that (1 xx 2^(2) + 2 xx 3^(2) + ... +n xx (n + 1)^(2))/(1^(2) xx ...

    Text Solution

    |

  20. A farmer buys a used tractor for Rs 12000. He pays Rs 6000 cash and ag...

    Text Solution

    |