Home
Class 11
MATHS
The third term of a geometric progressio...

The third term of a geometric progression is 4. Then the product of the first five terms is a.`4^3` b. `4^5` c. `4^4` d. none of these

A

`4^(3)`

B

`4^(5)`

C

`4^(4)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let a be the first term and r be the common ratio.
We have,
`a_(3)=4rArrar^(2)=4`
`:.` Product of first terms = a ar `ar^(2)ar^(3)ar^(4)=(ar^(2))=(ar^(2))^(5)=4^(5)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|80 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The third term of a geometric progression is 4. Then find the product of the first five terms.

The third term of a G.P. is 2. Then product of the first five terms, is :

If the third term of G.P.is 4 , then find the product of first five terms

If the third term of G.P.is 4 , then find the product of first five terms

If the third term of G.P.is 4 , then find the product of first five terms.

The third term of a G.P. is 3. Find the product of its first five terms.

The third term of a G.P. is 3. Find the product of its first five terms.

If the 3^(rd) term of a G.P. is 4, find the product of its first five terms.

The sum of the first three terms of an Arithmeic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.

The first three terms of a geometric progression are 3, -1 and 1/3 . The next term of the progression is

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. The third term of a geometric progression is 4. Then the product of t...

    Text Solution

    |

  2. Let H(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n), then the sum to n terms...

    Text Solution

    |

  3. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  4. If A(1),A(2) are between two numbers, then (A(1)+A(2))/(H(1)+H(2)) is ...

    Text Solution

    |

  5. If the (m+1)t h ,(n+1)t h ,a n d(r+1)t h terms of an A.P., are in G.P....

    Text Solution

    |

  6. Given that n arithmetic means are inserted between two sets of numbers...

    Text Solution

    |

  7. If a,b, and c are in G.P then a+b,2b and b+ c are in

    Text Solution

    |

  8. If in a progression a1, a2, a3, e t cdot,(ar-a(r+1)) bears a constant...

    Text Solution

    |

  9. If in an AP, t1 = log10 a, t(n+1) = log10 b and t(2n+1) = log10 c then...

    Text Solution

    |

  10. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

    Text Solution

    |

  11. If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c are non-zero nu...

    Text Solution

    |

  12. If Sn denotes the sum of n terms of an A.P. whose common difference is...

    Text Solution

    |

  13. The sides of a right angled triangle are in A.P., then they are in the...

    Text Solution

    |

  14. Find the sum of all the 11 terms of an AP whose middle most term is 30...

    Text Solution

    |

  15. The maximum sum of the series 20+19 1/3+18 2/3+ is 310 b. 300 c. 0320 ...

    Text Solution

    |

  16. If three numbers are in G.P., then the numbers obtained by adding the ...

    Text Solution

    |

  17. If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G....

    Text Solution

    |

  18. Let a,b,c be three positive prime number. The progrrssion in which sqr...

    Text Solution

    |

  19. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

    Text Solution

    |

  20. If three numbers are in H.P., then the numbers obtained by subtracting...

    Text Solution

    |

  21. The first three of four given numbers are in G.P. and their last three...

    Text Solution

    |