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What's the sum of the first 100 positive integers? How about the first 1000?

How many squares will be in step 99?

(HINT: Look at just the odd-numbered steps.)

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How many triangles will there be in column 100?

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At step 40, how many trophies

will there be in the 7th row?
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The first column is the first time that two triangles appear as a pair.

Which column is the tenth time that two triangles appear as a pair?

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In the first row, every column is filled; in the 2nd row, every 2nd column has a snowflake; in the 3rd row, every 3rd column has a snowflake; in the 4th row, every 4th column has a snowflake.

The pattern continues in both the columns and rows.

Which of these numbers will have exactly two snowflakes in its column?

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