Home
Class 10
MATHS
In an A.P., if the first term is 22, ...

In an A.P., if the first term is 22, the common difference is `-4` and the sum to `n` terms is 64, find `n` .

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos
  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

For an A.P. if the first term is 8 and the common difference is 8, then S_(n) =

If the first term a_(1) of an A.P. is 22, the common difference d=-4 and the sum to n terms is 64, find n. Explain the double answer.

If n^(th) term of A.P is 2n+3, then common difference is

In an A.P. given that the first term (a) = 54, the common difference (d) = -3 and the n^(th) term (a_(n))=0 , find n and the sum of first n terms (S_(n)) of the A.P.

If for an A.P. the first term is 11 and the common difference is (–2), then find first three terms of A.P.

In an A.P.,the first term is 22, nth term is -11 and the sum to first n terms is 66. Find n and d, the common difference.

The sum of the first n terms of an AP whose first term is 8 and the common difference is 20, is equal to the sum of first 2n terms of another AP whose first terms is -30 and the common difference is 8. find n

The sum of the first n terms of an AP whose first term is 8 and the common difference is 20 is equal to the sum of first 2n terms of another AP whose first term is -30 and the common difference is 8. Find n.

If (a)/(2) is the first term and d is the common difference of an AP, then the sum of n terms of the AP is _______.

In an A.P. with first term 'a' and the common difference d (a, d!=0), the ratio 'rho' of the sum of the first n terms to sum of n terms succeeding them does not depend on n. Then the ratio a/d and the ratio, 'rho' ,respectively are

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the sum of all even integers between 101 and 999.

    Text Solution

    |

  2. Find the sum of all integers between 100 and 50, which are divisible b...

    Text Solution

    |

  3. In an A.P., if the first term is 22, the common difference is -4 an...

    Text Solution

    |

  4. In an A.P., if the 5t h and 12 t h terms are 30 and 65 respectiv...

    Text Solution

    |

  5. Find the sum of the first 11 terms of the A.P.: 2,\ 6,\ 10 ,\ 14 ,\...

    Text Solution

    |

  6. Find the sum of the first 13 terms of the A.P: -6,\ 0,\ 6,\ 12 ,\ ...

    Text Solution

    |

  7. Find the sum of the first 51 terms of the A.P.: whose second term i...

    Text Solution

    |

  8. Find the sum of the first 15 multiples of 8

    Text Solution

    |

  9. Find the sum of the first 40 positive integers divisible by (a) 3  ...

    Text Solution

    |

  10. Find the sum of all 3 – digit natural numbers, which are divisible ...

    Text Solution

    |

  11. Find the sum of all 3 – digit natural numbers, which are multiples ...

    Text Solution

    |

  12. Find the sum: 2+4+6+\ +200 (ii) 3+11+19+\ +803 (iii) (-5)+(-8)+(...

    Text Solution

    |

  13. Find the sum: 1+3+5+7+\ ddot\ +\ 199 (ii) 7+10 1/2+14+\ +84 (iii)...

    Text Solution

    |

  14. Find the sum: 25+28+31+\ dot\ +100 (ii) 18+15 1/2+13+\ dot+\ (-49 ...

    Text Solution

    |

  15. Find the sum of the first 15 terms of each of the following sequenc...

    Text Solution

    |

  16. Find the sum of the first 15 terms of each of the following sequenc...

    Text Solution

    |

  17. Find the sum of firsts 20 terms of the sequence whose n t h term is...

    Text Solution

    |

  18. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

    Text Solution

    |

  19. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

    Text Solution

    |

  20. Find the sum of first 51 terms of an AP whose second and third terms ...

    Text Solution

    |