Home
Class 10
MATHS
Find the sum of first 17 terms of an AP ...

Find the sum of first `17` terms of an AP whose 4th and 9th terms are `-15` and `-30`, respectively.

Text Solution

AI Generated Solution

To find the sum of the first 17 terms of an arithmetic progression (AP) where the 4th term is -15 and the 9th term is -30, we can follow these steps: ### Step 1: Use the formula for the nth term of an AP The formula for the nth term of an AP is given by: \[ a_n = a + (n - 1)d \] where: - \( a \) is the first term, - \( d \) is the common difference, ...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|10 Videos
  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Very Short Answer Type Questions|8 Videos
  • AREAS RELATED TO CIRCLE

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|20 Videos
  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.4 LONG ANSWER TYPE QUESTIONS|14 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the first 40 terms of the A.P. whose 4th term is 8 and 6th term is 14.

Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22.

Find the 31st term of an A.P. whose 10th term is 38 and 16th term is 74.

The sum of first 14 terms of an AP is 1050 and its 14th terms 140. Find the 20th term.

Find the A.P. whose 7th and 13th terms are respectively 34 and 64

If the sum of first n terms of an A.P. is 3n^2 + 2n , find its r^(th) term.

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

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

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

If the sum of first 14 terms of an A.P. is 1050 and its first term is 10, find the 20^(th) term.

NCERT EXEMPLAR ENGLISH-ARITHMETIC PROGRESSIONS-Short Answer Type Questions
  1. Find the 12th term from the end of the AP -2, -4, -6, …, -100.

    Text Solution

    |

  2. Which term of the AP 53, 48, 43, … is the first negative term ?

    Text Solution

    |

  3. How many numbers lie between 10 and 300, which divided by 4 leave a re...

    Text Solution

    |

  4. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

    Text Solution

    |

  5. The first term of an AP is -5 and the last term is 45. If the sum of t...

    Text Solution

    |

  6. Find the sum (i) 1+(-2)+(-5)+(-8)+ … +(-236) (ii) (4-(1)/(n))+(4-(...

    Text Solution

    |

  7. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

    Text Solution

    |

  8. If a(n)=3-4n, then show that a(1),a(2),a(3), … form an AP. Also, find ...

    Text Solution

    |

  9. In an AP, If S(n)=n(4n+1), then find the AP.

    Text Solution

    |

  10. In an AP, If S(n)=3n^(2)+5n and a(k)=164, then find the value of k.

    Text Solution

    |

  11. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

    Text Solution

    |

  12. Find the sum of first 17 terms of an AP whose 4th and 9th terms are -1...

    Text Solution

    |

  13. If sum of first 6 terms of an AP is 36 and that of the first 16 terms ...

    Text Solution

    |

  14. Find the sum of all the 11 terms of an AP whose middle most term is 30...

    Text Solution

    |

  15. Find the sum of last ten terms of the AP 8, 10, 12, …, 126.

    Text Solution

    |

  16. Find the sum of first seven numbers which are multiples of 2 as well a...

    Text Solution

    |

  17. How many terms of the AP -15, -13, -11, … are needed to make the sum ...

    Text Solution

    |

  18. The sum of the first n terms of an AP whose first term is 8 and the co...

    Text Solution

    |

  19. Kanika was given her pocket money on Jan 1st , 2008. She puts Rs. 1 on...

    Text Solution

    |

  20. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

    Text Solution

    |