Home
Class 11
MATHS
The product of three consecutive terms o...

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is

A

36

B

32

C

24

D

28

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

The product of three consecutive terms of a GP is 512. If 4 is added to each of the first and the second of these terms,the three terms now form an AP.Then the sum of the original three terms of the given GP is: (a) 36 (b) 32 (c) 24 (d) 28

The sum of three consecutive numbers of a G.P. is 14. If 1 is added in first and second term each and 1 subtracted from third, the new numbers form an A.P. Find the numbers.

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 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 15 and sum of their squares is 83. Find the terms.

The sum of three terms of an A.P. is 21 and the product of the first and the thrid terms exceeds the second term by 6 , find three terms .

The product of three consecutive terms of a G.P. is 64. The sum of product of numbers taken in pair is 56. Find the numbers.

If the sum of three consecutive terms of a G.P. is 38 and their product is 1728, then find these three consecutive terms.

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

The sum of three terms of an A.P.is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.

MODERN PUBLICATION-SEQUENCES AND SERIES-COMPETITION FILE
  1. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  2. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  3. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  4. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  5. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  6. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  7. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |

  8. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  9. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  10. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  11. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

    Text Solution

    |

  12. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  13. If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P.,...

    Text Solution

    |

  14. If the surm of the first ten terms of the series,(1 3/5)^2+(2 2/5)^2+(...

    Text Solution

    |

  15. For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-...

    Text Solution

    |

  16. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

    Text Solution

    |

  17. Let a1, a2, a3...a49 be in AP such that sum(k=0)^12(a4k+1)=416 and a9+...

    Text Solution

    |

  18. Let A be the sum of the first 20 terms and B be the sum of the first 4...

    Text Solution

    |

  19. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  20. Let a(1) , a(2) ...... A(50) are non constant terms of an A.P. And sum...

    Text Solution

    |