Table of Tables

What patterns do you notice in this table?

Continue the patterns to fill the empty squares.

Write a list describing all the patterns that you see.

What do you notice about the numbers on squares of the same colour?

Would the patterns continue for ever to the right and downwards?

What can you deduce from the patterns that you see?

What do these patterns tell you about the sum of consecutive odd numbers and can you prove this result in general?

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