Home
Class 11
MATHS
Show that the sum of (m+n)^(th) and (m-n...

Show that the sum of `(m+n)^(th)` and `(m-n)^(th)` terms of an A.P . Is equal to twice the `m^(th)` term.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|83 Videos

  • SETS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|268 Videos

Similar Questions

Explore conceptually related problems

Show that the sum of (m+n)^(th) and (m-n)^(th) terms of an A . P is equal to twice the m^ (th) térm.

The 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, find the 40^(th) term.

The 5^(th) and 7^(th) terms of a G.P. are 12 and 48 respectively. Then the 9^(th) term is

if the sum of 12^th and 22^th terms of an AP is 100. Find the sum of first 33 terms.

The sum of the first and 21^(th) terms of an arithmetic sequence is 140.What is the 11^(th) term?

The (m+n) th and (m-n ) th terms of a G.P are p and and q respectively . The the mth term of the G.P is

Suppose that the 6^(th) and 17^(th) terms of an A.P. are 19 and 41 respectively Find the first term and the common difference of the A.P.

The ratio of the sums of m and n terms of an A.P is m^2:n^2 . Show that the ratio of m^(th) and n^(th) terms is (2m — 1): (2n — 1).

Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 respectively If the sum of the terms of the A.P is 40, find the number of terms in the A.P.

If m times the m^(th) term of an A.P is equal to n times its n^(th) term, show that the (m + n)^(th) term of the AP is zero.

A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Height of a plant at a certain date is 1.6m. Suppose that the height i...

    Text Solution

    |

  2. Consider the series 5+11+19+29+41+.. prove that the difference of succ...

    Text Solution

    |

  3. Show that the sum of (m+n)^(th) and (m-n)^(th) terms of an A.P . Is eq...

    Text Solution

    |

  4. If the sum of three number in A.P. is 24 and their product is 440 ,fin...

    Text Solution

    |

  5. If S1,S2 and S3 are respectively the sums of n, 2n and 3n terms of an ...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the sum of integers from 1 to 100 that are divisible by 2 or 5

    Text Solution

    |

  8. Find the sum of all two digit numbers which when divided by 4, yields ...

    Text Solution

    |

  9. If f is a function satisfying f(x+y)=f(x)f(y) for all x,yinN such that...

    Text Solution

    |

  10. The sum of some terms of a GP is 315 whose first term and the common r...

    Text Solution

    |

  11. The first term of a G.P. is 1. The sum of the third term and fifth ter...

    Text Solution

    |

  12. The sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

    Text Solution

    |

  13. A G.P. consists of an even number of terms. If the sum of all the term...

    Text Solution

    |

  14. The sum of the first 4 terms of an A.P. is 56. The sum of the last 4 t...

    Text Solution

    |

  15. If (a+bx)/(a-bx)=(b+cx)/(b-cx)=(c+dx)/(c-dx)(xne0) then show that a,b,...

    Text Solution

    |

  16. Let S be the sum P the product and R the sum of reciprocals of n terms...

    Text Solution

    |

  17. The p^(th),q^(th)and r^(th) terms of an A.P. are a,b,c respectively. S...

    Text Solution

    |

  18. If a (1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P. prove that a,b,c are ...

    Text Solution

    |

  19. If a,b,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are in...

    Text Solution

    |

  20. If a and b are the roots of x^2-3x+p=0 and c,d are the roots of x^2-12...

    Text Solution

    |