Home
Class 10
MATHS
If the sum of the first n^(th) terms of ...

If the sum of the first `n^(th)` terms of an A.P is `4n-n^(2)` , what is the first term (that is `S_(1)`) ? What is the sum of first two terms? What is the second term? Similarly, find the `3^(rd)` , the `10^(th)` and the `n^(th)` terms.

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 1.4|5 Videos

  • ARITHMETIC PROGRESSIONS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 1.2|13 Videos

  • CIRCLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 4.2|13 Videos

Similar Questions

Explore conceptually related problems

If the sum of the first n terms of an AP is 4n-n^(2) , what is the first term (note that the first term is S_(1) )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms

IF the sum of the first n terms of an AP is 4n-n^2 , what is the first term (that is S_1 )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd the 10th and the nth terms?

The first n^(th) term of a AP is given by

If the sum of the first n terms of an A.P. is 4n-n^(2) what is the first term? What is the sum of the first two terms? What is the second term? Find the 3rd, 10th, and the nth terms.

If the sum of first n terms of an A.P. is cn^(2) , then the sum of squares of these n terms is :

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

7th term of an A.P. is 40. then the sum of the first 13 terms is

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

In an AP, the 5th term is 30 and 12th term is 65. What is the sum of first 20 terms?

The first term of an AP is a and the n^(th) term is b, the d=

CPC CAMBRIDGE PUBLICATION-ARITHMETIC PROGRESSIONS-EXERCISE 1.3
  1. Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. ...

    Text Solution

    |

  2. Find the sums given below : (i) 7+10(1)/(2)+14+……..+84 (ii) 34+32...

    Text Solution

    |

  3. In an AP: (i) given a=5, d=3, a(n)=50, find n and S(n). (ii) give...

    Text Solution

    |

  4. How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...

    Text Solution

    |

  5. The first of an A.P is 5, the last term is 45 and the sum is 400. Find...

    Text Solution

    |

  6. The first and the last terms of an A.P are 17 and 350 respectively. If...

    Text Solution

    |

  7. Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...

    Text Solution

    |

  8. Find the sum of first terms of an A.P whose second and third terms are...

    Text Solution

    |

  9. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...

    Text Solution

    |

  10. Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...

    Text Solution

    |

  11. If the sum of the first n^(th) terms of an A.P is 4n-n^(2) , what is t...

    Text Solution

    |

  12. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

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

    Text Solution

    |

  14. Find the sum of the odd numbers between 0 and 50.

    Text Solution

    |

  15. A contract on construction job specifies a penalty for delay of comple...

    Text Solution

    |

  16. A sum of Rs. 700 to be used to give seven cash prizes to students of a...

    Text Solution

    |

  17. In a scholl students thought of planting trees in and around the schoo...

    Text Solution

    |

  18. A spiral is made up of successive semicircles, with centres alternatel...

    Text Solution

    |

  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

    Text Solution

    |

  20. In a potato race, a bucket is placed at the starting point, which is 5...

    Text Solution

    |