Home
Class 11
MATHS
In an AP if m^th term is 'n' and n^th te...

In an AP if `m^th` term is 'n' and `n^th` term is 'm', find the `(m+n)^th` term.

Promotional Banner

Topper's Solved these Questions

  • Relations and Functions

    MAXIMUM PUBLICATION|Exercise EXAMPLE|104 Videos
  • SETS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|115 Videos

Similar Questions

Explore conceptually related problems

In an AP, if the m^th term is 'n' and the n^th term is 'm', prove that its p^th term is n+m-p .

In an A.P. if m^ (th) term is n and the n^(th) term is m , where m ne n , find the. p^ (th) term.

Consider an arithmetic sequence whose m^(th) term is 'n' and n^(th) term is 'm . i)Find the common difference of the sequence. ii) Prove that (m+n+p)th term of the sequence is -p

If p^th term of an AP is 'q' and q^th term is 'p', where p ne q find r^th term.

The 7^th term of an AP is 34 and the 15^th term is 74. Find the 40^th term.

Consider an arithmetic sequence whose 7^(th) term is 34 and 15^(th) term is 66. Find the 20^(th) term.

In an A.P., if 5 ^(th) term is (1)/(7) and 7^(th) term is (1)/(5), then the sum of first 35 terms is

The 10^th term of an AP is 73 and the 20^th term is 43. Find the 44^th term.

Read the following Passage. Understand the Mathematical concept in it and answer the questions that follow. Each question carries 1 score. The common difference of the arithmetic sequence 15,14,13,12,...... is 14-15=-1 . First terms of the sequence is 15 and the 15th term is 15+14x-1=15-14=1 . Similarly the 4th term is 12 and the 12^(th) term is 4. Its 16th term is, x_(16)=15+15x-1=15-15=0 . So the sum of the first 31 terms is also zero. that is if the n^(th) is m, then the mth term is n and the (m+n)^(th) term is zero. Seventh term of an arithmetic sequence is 10 and the 10^(th) term is 7. What is the common difference?

In an AP, the 6th term is 52 and 11th term is 112. Then the common difference is equal to

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. In an AP, the first term is 2 and the sum of the first five terms is ...

    Text Solution

    |

  2. If AM and GM of two numbers are 10 and 8 respectively, find the number...

    Text Solution

    |

  3. In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th t...

    Text Solution

    |

  4. If 3^rd, 8^th and 13^th th terms of a GP are x,y,z respectively, prove...

    Text Solution

    |

  5. Prove that 3^rd, 8^th and 13^th th terms of a GP are x,y,z satisfies t...

    Text Solution

    |

  6. Which of the following is the nth term of an AP?

    Text Solution

    |

  7. Find the 10^th term of the sequence -6,-11/2,-5,…………...

    Text Solution

    |

  8. The sum of the first three terms of a GP is (39)/(10) and their produc...

    Text Solution

    |

  9. Find the 10^th term of an AP whose nth term is (2n-3)/6.

    Text Solution

    |

  10. Find the sum of the first 10 terms of the AP which is (2n-3)/6.

    Text Solution

    |

  11. Find the sum of the first 10 terms of a GP, whose 3^rdterm is 12 and 8...

    Text Solution

    |

  12. Find the 5^th term of the sequence whose n^th terman=(n^2-5)/4

    Text Solution

    |

  13. Find the sum of n terms of the series 7+77+777+..........

    Text Solution

    |

  14. Find the sum to n terms of the series. 1xx2+2xx3+3xx4+4xx5+............

    Text Solution

    |

  15. Find the sum of multiple of 7 between 200 and 400.

    Text Solution

    |

  16. The sum of first 3 terms of a GP is 39/10and their product Is 1. Find ...

    Text Solution

    |

  17. If 'a' is the first term and 'd is the common difference of an AP, the...

    Text Solution

    |

  18. In an AP, if the m^th term is 'n' and the n^th term is 'm', prove tha...

    Text Solution

    |

  19. Find the sum to n terms of the series. 1xx2+2xx3+3xx4+4xx5+............

    Text Solution

    |

  20. If the sum of certain number of terms of the AP 25,22,19,........is 11...

    Text Solution

    |