Home
Class 12
MATHS
If the sum of 4^(th) and 8^(th) elements...

If the sum of `4^(th)` and `8^(th)` elements of A.P is 24 and the sum of `6^(th)` and `10^(th)` elements of 34 , then the common difference is

A

`(3)/(2)`

B

2

C

`(5)/(2)`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

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

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

The first and last elements of an A.P are a and l respectively. If S is the sum of all terms of the A.P, then the common difference is

If 5 times of the 5^(th ) element of an A.P is equal to 9 times the 9^(th) element, then 14^(th) element of the A . P is

The 8^(th) element and 20^(th) element of an A.P are 22 and 46 respectively. The 18^(th) element is

IF m^(th) term of an A.P. is n and n^(th) term is m, then find p^(th) term?

The ratio of 7^(th) to 3^(rd) term of an A.P. is 12:5 . Find the ratio of 13^(th) to 4^(th) term.

The first term of a G.P . Is and the sum of 3^(rd) and 5^(th) terms is 90 . Find the common ratio of the G.P.

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If 5 times of the 5^(th ) element of an A.P is equal to 9 times the 9^...

    Text Solution

    |

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

    Text Solution

    |

  3. If the sum of 4^(th) and 8^(th) elements of A.P is 24 and the sum of 6...

    Text Solution

    |

  4. The 12^(th) element from the end of A.P,3,8,13, .., 253 is

    Text Solution

    |

  5. The 8^(th) element and 20^(th) element of an A.P are 22 and 46 respect...

    Text Solution

    |

  6. Which of the element of A.P 4, 5 (1)/(3), 6(2)/(3), .... is 104

    Text Solution

    |

  7. If the ratio of the sums of the n elements of two arithmetic progressi...

    Text Solution

    |

  8. a, b, c are in A . P, x is G . M between a and b, y is the G.M between...

    Text Solution

    |

  9. If (a-1) is the G.M between (a-2) and (a+1) then a=

    Text Solution

    |

  10. If a, b, c are in geometric progression then log a^(n), log b^(n), log...

    Text Solution

    |

  11. The first term of a G.P is 3 and 6^(th) element is (3)/(32), then if P...

    Text Solution

    |

  12. The first and the n^(th) elements of a G.P are respectively a and b an...

    Text Solution

    |

  13. a, b, c are in A.P, b, c, d are in G.P and c, d, e are in H.P, then a,...

    Text Solution

    |

  14. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

    Text Solution

    |

  15. The value of n for which ( a ^(n+1) +b^(n+1))/( a^(n) + b^(n)) is the...

    Text Solution

    |

  16. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

  17. If the sum of first p terms of an A.P is equal to the sum of the first...

    Text Solution

    |

  18. Find the sum to n terms of the A.P., whose k^("th") term is 5k + 1.

    Text Solution

    |

  19. If the sum of n terms of an A . P is 3n^(2)+5n and its m^(th) term is ...

    Text Solution

    |

  20. The 12^(th) common terms between the series 3+7+11+.. And 1+6+11+.. .+...

    Text Solution

    |