Home
Class 9
MATHS
Find the rth term of an A.P., the sum of...

Find the rth term of an A.P., the sum of whose first n terms is `2n+3n^2`.

Promotional Banner

Topper's Solved these Questions

  • PROGRESSION

    KALYANI PUBLICATION|Exercise EXERCISE|249 Videos

  • MATHEMATICAL LOGIC

    KALYANI PUBLICATION|Exercise EXERCISE|290 Videos

  • SYSTEM OF NUMERATION

    KALYANI PUBLICATION|Exercise EXERCISE|101 Videos

Similar Questions

Explore conceptually related problems

The nth term of an A.P the sum of whose n term is S_n is____

In an A.P.,the sum of first n terms is 5n^2/2+3n/2 .Find its 20th term.

The seventh term of an A.P. is 20 and the sum of first twenty terms is 610. Find the tenth term and the sum of first fifteen terms.

The sum of first ten terms of an A.P. is 120. The sum of next ten terms is 320. Find the first term and common difference.

The sum of the pth and the qth term of an A.P. is equal to the sum of rth and sth term of it. Show that (p-r)th term and (s-q)th terms are equal

In an A.P. the nth term is p and the sum of first n terms is q. Show that the first term of the series is (2q-pn)/n .

Fill the gap The sum of n terms of an A.P. whose first term is a and common difference is d is

The first, fourth and thirteenth term of an A.P. are in G.P. If the first term of the A.P. is 3, find the A.P.

The first term of an A.P. is a. If sum of first p terms is zero, prove that the sum of first (p + q) terms is [a(p+q)q]/(1-p) .

The sum of first n terms of an A.P. is m and that of first m terms is n. Prove that the sum of first m + n terms is -(m + n) .

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. Prove that the ratio of the sum of m A.M.’s between any two n...

    Text Solution

    |

  2. The sum of fIrst n terms of an A.P series is 26n-2n^2. Find the fifth ...

    Text Solution

    |

  3. Find the rth term of an A.P., the sum of whose first n terms is 2n+3n^...

    Text Solution

    |

  4. The first term and common difference of an A.P. are 3 and 2 respective...

    Text Solution

    |

  5. The fifth and ninth terms of an A.P. are respectively -15 an...

    Text Solution

    |

  6. The first term and common difference of an A.P. are respectively 4 and...

    Text Solution

    |

  7. The first term and common difference of an A.P. are respectively -2 an...

    Text Solution

    |

  8. The first term and last term of an A.P. are respectively 1 and 157. If...

    Text Solution

    |

  9. The first term and last term of an A.P. are 5 and 123 respectively. ...

    Text Solution

    |

  10. If the sum upto 21st term of an A.P. is 630, determine the 11th ...

    Text Solution

    |

  11. If 18th term of an A.P. is 52, determine the sum upto 35th term.

    Text Solution

    |

  12. In an A.P. if the ratio of the sum upto 10th term and the 10th...

    Text Solution

    |

  13. The seventh term of an A.P. is 20 and the sum of first twenty terms ...

    Text Solution

    |

  14. The sum of first ten terms of an A.P. is 120. The sum of next ten term...

    Text Solution

    |

  15. In an A.P. the ratio of 7th term to 11th term is 19 : 31 and the sum ...

    Text Solution

    |

  16. The sum of first nine terms of an A.P. is 171 and that of 24 terms is ...

    Text Solution

    |

  17. In an A.P. the nth term is p and the sum of first n terms is q. Show t...

    Text Solution

    |

  18. If {S1,S2,S3} denoted the sum of n terms of three series in A.P. the f...

    Text Solution

    |

  19. The sum of first n terms of an A.P. is m and that of first m terms is...

    Text Solution

    |

  20. The ratio of sum of the first n terms of two series in A.P is (3n + 8)...

    Text Solution

    |