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#56 Square sums by four
Set by Katie Steckles
12 = 1, 12 + 22 = 5 and 12 + 22 + 32 = 14. If we continue in this way, when is the first time this sum is a multiple of 4?
If we added the squares of all the numbers from 1 to 20, what would the remainder be after dividing by 4?
What is the general pattern in the remainders for the sum of squares of the numbers from 1 to n? Can you explain why this occurs?
Solution next week
#55 Squares in squares
Solution
As…
