Results 1 to 2 of 2

Math Help - Sequence Addition Proof

  1. #1
    Member
    Joined
    Nov 2010
    Posts
    86

    Sequence Addition Proof

    Some help with this sequence proof would be appreciated!


    Let x-sub-j from j=1 to infinity and y-sub-j from j=1 to infinity be sequences in the Integers, and let a,b,c in the Integers be such that a <= b < c


    Prove that:

    Σ from j=a to b of (x-sub-j + y-sub-j) = Σ from j=a to b of (x-sub-j) + Σ from j=a to b of (y-sub-j)

    Can we use induction here? Or recursion? Thanks a lot in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Bruno J.'s Avatar
    Joined
    Jun 2009
    From
    Canada
    Posts
    1,266
    Thanks
    1
    Awards
    1
    Please use LaTeX, your post is unreadable.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Sequence Proof
    Posted in the Calculus Forum
    Replies: 11
    Last Post: August 13th 2011, 03:45 PM
  2. Proof of Sine Addition Formula with complex numbers
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 25th 2010, 06:43 AM
  3. Replies: 5
    Last Post: October 5th 2009, 01:10 AM
  4. Multiset Addition Rule (proof required)
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: August 31st 2009, 08:21 AM
  5. addition sequence with subscript words
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 11th 2008, 01:31 PM

Search Tags


/mathhelpforum @mathhelpforum