Home
Class 11
MATHS
Show that the sum of first n even number...

Show that the sum of first n even numbers is equal to `(1+1/n)` times the sum of first n odd numbers.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos
  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k is equal to:

The sum of the first n odd number is :

Find the sum of first n natural numbers.

The sum of first 30 natural numbers is:

Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum opf the first n even natural numbers and sum of the first n odd natural numbers is n.

Sum of first 10 odd numbers is ________

The arithmetic mean of first n odd natural numbers is :

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

Find the sum of first hundred even natural numbers divisible by 5.

If the sum of first 7 terms of an AP is 49 and that of 17, terms is 289, find the sum of first n terms.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If the 12th term of an A.P. is -13 and the sum of the first four terms...

    Text Solution

    |

  2. Show that the sum of n consecutive odd integers beginning with 1 equal...

    Text Solution

    |

  3. Show that the sum of first n even numbers is equal to (1+1/n) times th...

    Text Solution

    |

  4. Find the sum of odd integers from 1 to 2001. (A) 100200 (B) 1002001 (C...

    Text Solution

    |

  5. Find the sum of all natural numbers between 99 and 1001 which are mult...

    Text Solution

    |

  6. Find the sum of first hundred even natural numbers divisible by 5.

    Text Solution

    |

  7. Find the sum of all integers between 50 and 500, which are divisible b...

    Text Solution

    |

  8. Find the sum of all numbers between 200 and 400 which are divisible by...

    Text Solution

    |

  9. How many terms are there in A.P. whose first and fifth terms are -14 a...

    Text Solution

    |

  10. If the sum of the first n terms of a sequence is of the form An^2+ Bn,...

    Text Solution

    |

  11. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what ...

    Text Solution

    |

  12. If the first term a1 of an A.P. is 22, the common difference d = -4 an...

    Text Solution

    |

  13. In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...

    Text Solution

    |

  14. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  15. If ‘S’ is the sum of a finite A.P. whose first term is ‘a’ and last te...

    Text Solution

    |

  16. In an A.P., of which a is the first term, if the sum of the first p te...

    Text Solution

    |

  17. The sum of n terms of two arithmetic series are in the ratio of (7n + ...

    Text Solution

    |

  18. The sum of n terms of arithmetic progressions are in the ratio (3n+ 8)...

    Text Solution

    |

  19. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

    Text Solution

    |

  20. A man saves ₹3200 during the first year, ₹ 3600 in the next year, ₹ 40...

    Text Solution

    |