Squares, squares and more squares

Can you dissect a square into: 4, 7, 10, 13... other squares? 6, 9, 12, 15... other squares? 8, 11, 14... other squares?

Problem



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Squares, Squares and More Squares

The diagram shows a square dissected into seven smaller squares.

Can a square be dissected into any number of squares?

Can you dissect a square into: two, three, four, five ... $n$ other squares?

Can you justify your findings?