How can doubling pennies over just 14 days turn into a small fortune?
If you do the calculations,
here’s how much
money you would gain
each day:

Day 1: 1 penny
Day 2: 2 pennies
Day 3: 4 pennies
Day 4: 8 pennies
Day 5: 16 pennies
Day 6: 32 pennies
Day 7: 64 pennies
Day 8: 128 pennies
Day 9: 256 pennies
Day 10: 512 pennies
Day 11: 1,024 pennies
Day 12: 2,048 pennies
Day 13: 4,096 pennies
Day 14: 8,192 pennies

If you add up all those
pennies, you would
have 16,383 pennies,
or $163.83. That’s an
example of exponential
growth.
It’s easy to fold a sheet of paper in half. But can you fold a sheet of paper in half ten times?   HERE’S WHAT YOU NEED
A sheet of newspaper (the larger, double-page size)
   
HERE’S WHAT YOU DO
1. Fold your sheet of newspaper in half in any direction you want. How many layers of newspaper do you have after folding the newspaper once? Two!
2. Without unfolding your first fold, fold the newspaper in half again. Now you have two folds and four layers.
3. Fold the newspaper in half again. How may layers of newspaper do you have after three folds? Four folds? Five folds?
4. Keep folding the newspaper in half until you can’t fold it anymore. How many folds were you able to complete? How many layers of newspaper do you have?

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This activity is from Exploratopia, © Exploratorium, published by Little, Brown, and Company