1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Proof calculation help

  1. Feb 28, 2007 #1
    1. The problem statement, all variables and given/known data

    Prove algebraically that the sum of the squares of any two odd numbers leaves a remainder of 2 when divided by 4.

    2. Relevant equations


    3. The attempt at a solution

    not really sure what to do so excuse my bad attempt

    where n is an integer:

    (1^2 + 1^2)/4 = n + 2

    thnx for ya help

    as per rules, please only give one step away at a time and explain please :D thnx
  2. jcsd
  3. Feb 28, 2007 #2


    User Avatar
    Science Advisor
    Homework Helper

    Can you write me a formula for the nth odd number?
  4. Feb 28, 2007 #3
    You need to replace those 1's with the general form of an odd number. Put all odd numbers in terms of all whole numbers and do the binomial expansion
  5. Mar 1, 2007 #4
    oops yeh i found out i shoulda done 2n-1 lol

    silly me, soz
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Proof calculation help Date
Logic Proposition Proof Friday at 5:21 PM
Mathematical induction proof Jan 26, 2018
Is this proof valid? Jan 8, 2018
Could you help check does the steel weight formula? Jan 3, 2018
Complex Proof Dec 1, 2017