Home
Class 12
MATHS
If S is the sum to infinity of a G.P, wh...

If `S` is the sum to infinity of a G.P, whose first element is `a`, then the sum of the first `n` elements is

A

1.`S(1-(a)/(S))^(n)`

B

2.`S(1-(1-(a)/(S))^(n))`

C

3.`a(1-(1-(a)/(S))^(n))`

D

4.None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos
  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

If 2 is the sum to infinity of a G.P, whose first element is 1, then the sum of the first n terms is

Find the sum of first n even numbers.

If (1)/(2) is the sum to infinity of a G.P, with common ratio (1)/(3), then the first element is

7th term of an A.P. is 40. then the sum of the first 13 terms is

The fourth element of a G.P is 8. The product of first seven elements is

Find the sum of first n even natural numbers.

The first element in the periodic table is_____.

If the sum of the first n terms of an A.P. is 4n-n^(2) what is the first term? What is the sum of the first two terms? What is the second term? Find the 3rd, 10th, and the nth terms.

The element with the highest first ionization potential is

If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 289, find the sum of first n terms.

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If one geometric mean G and two arithmetic means A(1) and A(2) are ins...

    Text Solution

    |

  2. If (1)/(2) is the sum to infinity of a G.P, with common ratio (1)/(3),...

    Text Solution

    |

  3. If S is the sum to infinity of a G.P, whose first element is a, then t...

    Text Solution

    |

  4. If 2 is the sum to infinity of a G.P, whose first element is 1, then t...

    Text Solution

    |

  5. The fourth seventh and tenth terms of a G.P. are p,q,r respectively, t...

    Text Solution

    |

  6. The second, third and sixth terms of an A.P are consecutive elements o...

    Text Solution

    |

  7. If x, 2 x+2,3 x+3 are in G.P, then 5^(th) element is

    Text Solution

    |

  8. Three positive numbers froman increasing G.P. If middle term in this G...

    Text Solution

    |

  9. Let ( a(n) ) be a G.P. such that ( a(4))/( a(6)) =( 1)/( 4) and a(2) +...

    Text Solution

    |

  10. The fourth element of a G.P is 8. The product of first seven elements ...

    Text Solution

    |

  11. If a(1), a(2) ,a(3)"….." is an A.P. such that : a(1) + a(5) + a(10)+...

    Text Solution

    |

  12. 7th term of an A.P. is 40. then the sum of the first 13 terms is

    Text Solution

    |

  13. In an A.P, 7^(th) element is (1)/(21) and 21^(st ) element is (1)/(7) ...

    Text Solution

    |

  14. If a, b, c are in A . P, then (a-c)^(2)=

    Text Solution

    |

  15. Let a and d are respectively first and the common difference of an A.P...

    Text Solution

    |

  16. Let a and d are respectively first and the common difference of an A.P...

    Text Solution

    |

  17. In an A.P, 7^(th) element is (1)/(21) and 21^(st ) element is (1)/(7) ...

    Text Solution

    |

  18. The first and last element of an A.P are 7 and 55 respectively. The su...

    Text Solution

    |

  19. If 5 times of the 5^(th ) element of an A.P is equal to 9 times the 9^...

    Text Solution

    |

  20. Sum of 25^(th) and 5^(th) elements of an A.P is

    Text Solution

    |