In this puzzle we are asking you to figure out the patterns in several number series.

Let’s look at this series of numbers:

1, 3, 5, 7, 9, 11 . . .

What’s the pattern? What are the next three numbers in the series?

Try These Series

Here are more number series to figure out. In each case, explain the pattern and find the next three numbers in the series.

a. 2, 4, 6, 8, 10, 12 . . .

b. 5, 10, 15, 20, 25 . . .

c. 1, 4, 9, 16, 25…(Hint: this is related to the “Square Numbers”  Math Puzzle.)

d. 1, 2, 6, 24, 120, 720 . . .

e. 1, 1, 2, 3, 5, 8, 13, 21…

(Hint: This series is named after a man who lived in a city well known for having a stone tower that is not quite vertical.)

f. 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 7, 7…

After you’ve tried this for yourself, check our solutions.