Home
Class 14
MATHS
The sum of the 6th and 15th elements of ...

The sum of the 6th and 15th elements of an arithmetic progression is equal to the sum of 7th 10th and 12th elements of the same progression. Which elements of the series should necessarily be equal to zero

A

10th

B

8th

C

1st

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    DISHA PUBLICATION|Exercise STANDARD LEVEL|27 Videos
  • PROGRESSIONS

    DISHA PUBLICATION|Exercise EXPERT LEVEL|25 Videos
  • PROGRESSIONS

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
  • PROFIT, LOSS AND DISCOUNT

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • QUADRATIC AND CUBIC EQUATIONS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

Similar Questions

Explore conceptually related problems

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 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

Find the 15th term of the arithmetic progression 10, 4, -2, ….

If the n^(th) term of an arithmetic progression is (2n-1). Find the 7^(th) term.

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?

In an artimetic progression, the 24th term is 100. Then, the sum of the first 47 terms of the arithmetic progression is

If the sum of 'n' terms of an arithmetic progression is n^(2)-2n , then what is the n^(th) term?

The 4th and 7th term of an arithmetic progression are 1 and -4, respectively. What is the 15th term?

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

DISHA PUBLICATION-PROGRESSIONS-FOUNDATION LEVEL
  1. A man starts going for morning walk every day. The distance walked by ...

    Text Solution

    |

  2. If sixth term of a H. P. is 1/61 and its tenth term is 1/105 then the...

    Text Solution

    |

  3. The sum of the 6th and 15th elements of an arithmetic progression is e...

    Text Solution

    |

  4. In a geometric progression, the sum of the first and the last term is ...

    Text Solution

    |

  5. Four geometric means are inserted between 1/8 and 128. Find the third ...

    Text Solution

    |

  6. How many terms of the series 1 + 3 + 5 + 7 + ..... amount to 123454321...

    Text Solution

    |

  7. An equilateral triangle is drawn by joining the midpoints of the sides...

    Text Solution

    |

  8. The sum to infinity of the progression 9-3 + 1-1/3 + ……..is

    Text Solution

    |

  9. The sequence [xn] is a GP with x2/x4 = 1/4 and x1 + x4 = 108. What wil...

    Text Solution

    |

  10. The 1st, 8th and 22nd terms of an AP are three conscutive terms of a G...

    Text Solution

    |

  11. If the mth term of an AP is 1/n and nth term is 1/m, then find the sum...

    Text Solution

    |

  12. Find the value of 1– 2 – 3 + 2 – 3 – 4 + ... + upto 100 terms.

    Text Solution

    |

  13. If log ((5c)/(a)) , log ((3b)/(5c)) and log ((a)/(3b)) are n an A.P.,...

    Text Solution

    |

  14. If 1/x +1/z + (1)/(x - y) + (1)/(z - y) = 0 , which of the following ...

    Text Solution

    |

  15. Let n > 1, be a positive integer. Then the largest integer m, such tha...

    Text Solution

    |

  16. The sum of an infinite GP whose common ratio is numerically less than ...

    Text Solution

    |

  17. The sum of the series 1/(sqrt2 + sqrt1) + 1/(sqrt2 + sqrt3) + ……+ 1/ (...

    Text Solution

    |

  18. What will be the value of x^(1//2) , x^(1//4) , x^(1//8) ……. To infini...

    Text Solution

    |

  19. Find the sum of n terms of the series 11 + 103 + 1005 + ...

    Text Solution

    |

  20. Three distinct numbers a, b, c form a GP in that order and the number...

    Text Solution

    |