Home
Class 12
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

28

D

24

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 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 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.

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. The sum of all two digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  2. The sum of an infinite geometric series with positive terms is 3 and t...

    Text Solution

    |

  3. Let a1,a2," ..."a10 be a G.P. If a3/a1=25," then "a9/a5 equals

    Text Solution

    |

  4. Let S(k) = (1+2+3+...+k)/(k). If S(1)^(2) + s(2)^(2) +...+S(10)^(2) = ...

    Text Solution

    |

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

    Text Solution

    |

  6. Let Sn=1+q+q^2 +?+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n If...

    Text Solution

    |

  7. If 19^(th) term of a non-zero A.P. is zero, then (49^(th) term) : (29^...

    Text Solution

    |

  8. The sum of all natural numbers 'n' such that 100 lt n lt 200 and HCF (...

    Text Solution

    |

  9. The sum underset(k=1)overset(20)sum k (1)/(2^(k)) is equal to

    Text Solution

    |

  10. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

    Text Solution

    |

  11. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  12. Some identical balls are arranged in rows to form an equilateral tria...

    Text Solution

    |

  13. The sum of the the series 1+2x3+3x5+4x7+…. Upto 11^(th) term is

    Text Solution

    |

  14. If the sum and product of the first three terms in an AP are 33 and 11...

    Text Solution

    |

  15. Let S=3+(5(a^(3)+2^(3)))/(1^(2)+2^(2))+(7(1^(3)+2^(3)+3^(3)))/(1^(2)+2...

    Text Solution

    |

  16. Let a1,a2,a3,... be in A.P. With a6=2. Then the common difference of t...

    Text Solution

    |

  17. Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le...

    Text Solution

    |

  18. value of 1+(1^(3)+2^(3))/(1+2)+(1^(3)+2^(3)+3^(3))/(1+2+3)+……+(1^(3)+2...

    Text Solution

    |

  19. Let S(n) denote the sum of the first n terms of an AP. If S(4) = 16 an...

    Text Solution

    |

  20. If a(1), a(2), a(3),... are in AP such that a(1) + a(7) + a(16) = 40, ...

    Text Solution

    |