Home
Class 12
MATHS
If the sum of first 100 terms of an arit...

If the sum of first 100 terms of an arithmetic progression is `- 1` and the sum of the even terms lying in first 100 terms is 1, then which of the following statement(s) is (are) correct ?

A

Common difference of the arithmetic progression is `- 3/50`

B

First term of the arithmetic progression is `149/50`

C

`100^(th)` term of the arithmetic progression is `74/25`

D

Sum of the an infinite geometric progression whose first term is `47/25` and common ratio is common difference of arithmetic sequence equals 2.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If the sum of the first 100 terms of an AP is -1 and the sum of even terms lying in first 100 terms is 1 , then which of the following is not true ?

If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is

If the sum of the 100 terms of an A.P. is -1 and the sum of the even numbered terms lying in first 100 terms is 1, then

The sum of 40 terms of an arithmetic progression is 430 and the sum of 60 terms is 945. Find the 20th term.

If the nth term of an arithmetic progression is 3n+7, then what is the sum of its first 50 terms ?

If the sum of first 11 terms of an arithmetic progression equal that of the first 19 terms, Then, what si the sum of first 30 terms?

What is the sum of the first 13 terms of an arithmetic progression, if the 5th term is 1 and the 8th term is - 17?

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and the last term is 55?

RESONANCE-DPP-QUESTION
  1. The graph of y = f(x) is given below then the graph y = |f(|x|)| ...

    Text Solution

    |

  2. If a,b,c are distinct positive numbers in H.P. then which of the relat...

    Text Solution

    |

  3. If the sum of first 100 terms of an arithmetic progression is - 1 and ...

    Text Solution

    |

  4. If the solution of the equation (x^4-9) -(x^2 + 3)| = [x^4 - 9| - |x^2...

    Text Solution

    |

  5. Let Tn denotes the n^(th) term of a G.P. with common ratio 2 and (lo...

    Text Solution

    |

  6. Draw the labled graph of following (i) y = |7-2x| , (ii) y = |x-1|-|3...

    Text Solution

    |

  7. Which one of the following inequality holds good (A) cos 12^@ lt tan 1...

    Text Solution

    |

  8. If x = cos alpha + cos beta - cos(alpha +beta) and y = 4 sin '(alpha)...

    Text Solution

    |

  9. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  10. If a,b respectively be the number of solutions and sum of solutions of...

    Text Solution

    |

  11. The equation |x + 2| - |x + 1| + |x -1| =K,x in R has two solutions i...

    Text Solution

    |

  12. If |sin^2 x + 17 - x ^2| = |16 - x^2| + 2sin^2 x + cos^2 x then subset...

    Text Solution

    |

  13. Msolution set of the inequality sqrt(7-x) > 2x-3 , is contained by the...

    Text Solution

    |

  14. Let y = cosx (cosx - cos 3x). Then y is

    Text Solution

    |

  15. The (m + 1)^(th) term of (x/y+y/x)^(2m + 1 ) is

    Text Solution

    |

  16. The remainder when 2^(2003) is divided by 17 is:

    Text Solution

    |

  17. Solution set of 4 sintheta*costheta-2 costheta-2sqrt3 sin theta+sqrt3 ...

    Text Solution

    |

  18. sin 36^(º)sin 72^(º) sin108^(º) sin 144^(º) =

    Text Solution

    |

  19. In an A.P. the third term is four times the first term, and the sixth ...

    Text Solution

    |

  20. The sum of three numbers in A.P. is 27, and their product is 504, find...

    Text Solution

    |