- #1
nastygoalie89
- 17
- 0
Alright, having problems with this question too. It seems to be the same type of number theory problem, which is the problem.
Prove "The square of any integer has the form 4k or 4k+1 for some integer k.
definition of even= 2k
definition of odd= 2k+1
Basically I have: Case 1. 2k(2k) = 4k
Case 2. 2k+1(2k+1) = 4k2+4k+1 = 4k+1(k+1)
Not sure if it's correct. Do I need to use different indices? I feel I am missing something. Thanks for any help!
Homework Statement
Prove "The square of any integer has the form 4k or 4k+1 for some integer k.
Homework Equations
definition of even= 2k
definition of odd= 2k+1
The Attempt at a Solution
Basically I have: Case 1. 2k(2k) = 4k
Case 2. 2k+1(2k+1) = 4k2+4k+1 = 4k+1(k+1)
Not sure if it's correct. Do I need to use different indices? I feel I am missing something. Thanks for any help!