Home
Class 14
MATHS
In an A.P. consisting of 23 terms , the ...

In an A.P. consisting of 23 terms , the sum of the three terms in the middle is 114 and that of the last three is 204 . Find the sum of first three terms :

A

14

B

42

C

24

D

69

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos
  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

An AP consists of 23 terms. If the sum of the three terms of in the middle is 141 and the sum of the last three terms is 261 , then the first term is

An AP consists of 37 terms. The sum of the three middle most terms is 225 and the sum of the last three terms is 429. Find the AP.

An AP consists of 37 terms.The sum of the three middle most terms is 225 and the sum of the last three terms is 429. Find the AP

An AP consists of 45 terms. The sum of the three middle most terms is 546 and the sum of the last three terms is 1050. Find the AP.

The sum of first three terms of a G.P. is 15 and sum of next three terms is 120. Find the sum of first n terms.

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

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

The sum of the 4 th and 8 th terms of an AP is 24 and the sum of the 6th and 10 th terms is 44. Find the first three terms of the AP.

The sum of the first three terms of an increasing G.P.is 21 and the sum of their squares is 189. Then the sum of the first n terms 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.

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. The sum of four consecutive terms in A.P. is 36 and the ratio of produ...

    Text Solution

    |

  2. The sum of four integers in A.P. is 24 and their product is 945. Find ...

    Text Solution

    |

  3. In an A.P. consisting of 23 terms , the sum of the three terms in the ...

    Text Solution

    |

  4. The sum of an infinite G.P. is 4 and the sum of their cubes is 192. Fi...

    Text Solution

    |

  5. Vibhor joined as an area manager of Quick Corporation in the pay scale...

    Text Solution

    |

  6. How many terms are common in two arithmetic progression 1,4,7,10,… upt...

    Text Solution

    |

  7. The value of 3^(1//3) . 9^(1//18) . 27^(1//81) …. ∞

    Text Solution

    |

  8. The sum of n terms of the series 1+(1+3)+(1+3+5)+ . . ., is

    Text Solution

    |

  9. The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5...

    Text Solution

    |

  10. If x, y ,z are in G.P. and a^x = b^y = c^z , then :

    Text Solution

    |

  11. The sum of integers from 113 to 113113 which are divisible by 7 is :

    Text Solution

    |

  12. The sum of n terms of a progression is 3n^2 + 5 . The number of terms ...

    Text Solution

    |

  13. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

    Text Solution

    |

  14. The sum of first n terms of the series 1/2 + 3/4 + 7/8 + (15)/(16) + …...

    Text Solution

    |

  15. The sum of all 4 digit numbers which divided by 4 leave the remainder ...

    Text Solution

    |

  16. If n arithmetic means are inserted between two quantities a and b , th...

    Text Solution

    |

  17. The product of n geometric means between two given numbers a and b is ...

    Text Solution

    |

  18. If a1 , a2 , a3 , … is an A.P. such that a1 , a5 , a(10) , a(15) , ...

    Text Solution

    |

  19. The sum of n terms of the series , where n is an even number 1^2 - 2...

    Text Solution

    |

  20. underset("n-digit")ubrace((666…6)) + underset("n-digit")ubrace((888…8)...

    Text Solution

    |