Question: I need help on this puzzle Puzzles 1 Prove that the square of any integer is of the form 3k or 3k + 1 for

I need help on this puzzle

Puzzles 1 Prove that the square of any integer is of the form 3k or 3k + 1 for some ke Z. Puzzles 2 Show that any integer of the form 6k + 5 is also of the form 3j + 2, but not conversely. Puzzles 3 (Extra Credit Challenge) Verify that if an integer is simultaneously a square and a cube (as is the case with 64 = 8" = 4'), then it must be either of the form 7k or 7k + 1

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