Summation problem

Discussion in 'Math' started by Dritech, Nov 16, 2014.

  1. Dritech

    Thread Starter Well-Known Member

    Sep 21, 2011
    756
    5
    Hi all,

    Can someone please explain why the summation is equal to N, when infinity = 1 ?

    I do understand that it is equal to 1^0 + 1^1 + 1^2 + ...... + 1?N-1 , but why is it equal to N?

    Thanks in advance.
     
  2. shteii01

    AAC Fanatic!

    Feb 19, 2010
    3,392
    497
    Because it is math?

    If N=1,
    Then N-1=1-1=0,
    Then Sum=1^0=1,
    Therefore 1=1 and N=Sum

    If N=2,
    Then N-1=2-1=1
    Then Sum=1^0+1^1=1+1=2,
    Therefore 2=2 and N=Sum

    If N=3,
    Then N-1=3-1=2
    Then Sum=1^0+1^1+1^2=1+1+1=3
    Therefore 3=3 and N=Sum

    There is one thing that is missing. There should have been a condition placed at the start of the excercise. This condition is: N>n (N is always gretater than n) or N-1=>n (N minus 1 is equal or greater than n).
     
    Dritech likes this.
Loading...