Home
Class 11
MATHS
In an A.P. of 99 terms, the sum of all t...

In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550. Then find the sum of all the 99 terms of the A.P.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Find the sum of terms of the A.P: 4, 9, 14,…., 89.

If the n^(t h) term of an A.P. is (2n+1), find the sum of first n terms of the A.P.

Find the sum to 25 terms of the A.P. 5, 7, 9, 11, …

The sum of first four terms of an AP is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms. Also find the sum of all terms of the AP.

Find the sum of 50 terms of the A.P. 1 + 4 + 7 + ....

Find the number of terms of the A.P. -12 ,\ -9,\ -6,\ dot,\ 12 . If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th and 10th terms is 44. Find the A.P.

Find an A.P. in which the sum of any number of terms is always three times the squared number of these terms.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a ,b ,c in R+ form an A.P., then prove that a+1//(b c),b+1//(1//a ...

    Text Solution

    |

  2. Find the degree of the expression (1+x)(1+x^6)(1+x^(11))........(1+x^(...

    Text Solution

    |

  3. In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550....

    Text Solution

    |

  4. Divide 32 into four parts which are in A.P. such that the ratio of the...

    Text Solution

    |

  5. Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth ...

    Text Solution

    |

  6. If the sum of three consecutive numbers in A.P., is 24 and their pr...

    Text Solution

    |

  7. Prove that the sum of n number of terms of two different A.P. s can be...

    Text Solution

    |

  8. In an A.P. if S1=T1+T2+T3+.....+Tn (n is odd)S2=T2+T4+T6+.........+T(n...

    Text Solution

    |

  9. If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...

    Text Solution

    |

  10. The digits of a positive integer, having three digits, are in A.P. and...

    Text Solution

    |

  11. If eleven A.M. ‘s are inserted between 28 and 10, then find the number...

    Text Solution

    |

  12. Between 1 and 31, m numbers have been inserted in such a way that t...

    Text Solution

    |

  13. Find the sum of first 24 terms of the A.P. a1,a2, a3 ......., if it i...

    Text Solution

    |

  14. If the arithmetic progression whose common difference is nonzero the ...

    Text Solution

    |

  15. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

    Text Solution

    |

  16. If the first two terms of as H.P. are 2/5 and 12/13, respectively. The...

    Text Solution

    |

  17. Insert five arithmetic means  between 8 and 26. or Insert five numbers...

    Text Solution

    |

  18. If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove ...

    Text Solution

    |

  19. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

    Text Solution

    |

  20. If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H...

    Text Solution

    |