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Using exponents, see if you can find the pattern in the numbers

2

4

8

16

The first thing you notice is that from 2 to 4, it gets doubled. 4 to 8 is doubled again, and 8 to 16 is another doubling. This means we are multiplying each number by 2 to find the next number in the pattern.

Can you guess what the next number after 16 might be? If you double 16 (16 *2)... 32!

Since we're multiplying things by 2, I'm going to write each number as a multiple of 2.

2 = 2

4 = 2 * 2

8 = 2 * 2 * 2

16 = 2 * 2 * 2 * 2

See the pattern?

In order to express the numbers as exponents, count how many 2's you have for each number. and then write 2 to the (how many 2's you counted) power.

2 = 2 = 2 to the 1 power (although we almost never write 2^1, just 2.)

4 = 2 * 2 = 2^2

8 = 2 * 2 * 2 = 2 ^ 3

Can you figure out the last one?

16 = 2 * 2 * 2 * 2 = 2 ^?

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Q: Write the pattern using exponents 2 4 8 16?
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