Proof calculation help

  • #1

Homework Statement



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

Homework Equations



n/a

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
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Can you write me a formula for the nth odd number?
 
  • #3
312
0
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
 
  • #4
oops yeh i found out i shoulda done 2n-1 lol

silly me, soz
 
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