Brain Game: Hollywood and Ice

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You may have to look in both two and three dimensions to solve today's  mentalfloss.com Brain Game Free-for-all Friday challenge. Good luck!

What two-digit number is missing from the sequence below, and why? 1, 4, 8, 9, ?, 25, 27, 36...

Here is the ANSWER.

THE ANSWER:

The missing number is 16.

The list represents the squares and cubes of integers, beginning with 1, in increasing value.

NOTE: These puzzles sometimes lend themselves to alternate "correct" answers. If you came up with one, feel free to share it with us in the comments below. And have a great weekend!

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