Home
Class 10
MATHS
If the n^(t h) term of an A.P. is (2n+1)...

If the `n^(t h)` term of an A.P. is `(2n+1),` find the sum of first `n` terms of the A.P.

Text Solution

Verified by Experts

For AP, `a_n = a+ (n-1)d = 2n-1`
`a_1 = 2-1 = 1`
`a_2 = 4-1 = 3`
Common difference ,` d = 3-1 = 2`
...
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

If the n^(t h) term of an A.P. is 2n+1 , then the sum of first n terms of the A.P. is n(n-2) (b) n(n+2) (c) n(n+1) (d) n(n-1)

If the sum of the first four terms of an AP is 40 and the sum of the first fourteen terms of an AP is 280. Find the sum of first n terms of the A.P.

The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

If the n^(th) term of an A.P is (5n-2) ,find its first term

If n^(th) term of an A.P. is (2n + 1), what is the sum of its first three terms ?

the A.P. nth term of an A.P. is given by (-4n+15). Find the sum of first 20 terms of A.P.

If nth term of an A.P. is (2n+1), what is the sum of its first three terms?

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.

The sum of the first five terms of an A.P. and the sum of the first seven terms of the same A.P. is 167. If the sum of first 10 terms of this A.P. is 235, find the sum of its first twenty terms.

If the nth term of an A.P. is 4n-1 , find the 30th term and the sum of first 30 terms.

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Which term of the arithmetic progression 8,14,20,26, ... will be 72 ...

    Text Solution

    |

  2. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

    Text Solution

    |

  3. If the n^(t h) term of an A.P. is (2n+1), find the sum of first n term...

    Text Solution

    |

  4. Two A.P’s have the same common difference. The difference between thei...

    Text Solution

    |

  5. Find the 8th term from the end of the A.P. 7,10,13, ..., 184

    Text Solution

    |

  6. Find the sum of all three digit natural numbers, which are divisible b...

    Text Solution

    |

  7. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. between aa n db . Then, fin...

    Text Solution

    |

  8. Find the number of integers between 50 and 500 which are divisible by ...

    Text Solution

    |

  9. 150 workers were engaged to finish a piece of work in a certain number...

    Text Solution

    |

  10. How many numbers of two digits are divisible by 7?

    Text Solution

    |

  11. Along a road lie an odd number of stones placed at intervals of 10 met...

    Text Solution

    |

  12. Divide 32 into four parts which are in A.P. such that the product of ...

    Text Solution

    |

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

    Text Solution

    |

  14. Ramkali would need Rs. 1800 for admission fee and books etc., for her ...

    Text Solution

    |

  15. The first and the last terms of an A.P. are 5 and 45 respectively. If ...

    Text Solution

    |

  16. Two cars start together in the same direction from the same place. The...

    Text Solution

    |

  17. The sum of the third and the seventh terms of an AP is 6 and their ...

    Text Solution

    |

  18. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

    Text Solution

    |

  19. In a school students thought of planting trees in and around the sc...

    Text Solution

    |

  20. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

    Text Solution

    |