From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!

# Arithmetic, Geometric & Exponential Patterns Examples

### Example 1

 The first four triangle numbers are 1, 3, 6, and 10. They are called triangular because they can be arranged in dots as triangle, like so:What will the 10th triangular number be?

### Example 2

 Find the next two numbers in this pattern: 1, 2, 8, 48, 348…Some of you may have figured out the pattern by just looking at it, the rest of us may need a little help. Let's start by writing these numbers in a chart and looking at their differences.

### Example 3

 Find the missing number in the pattern: 3, 9, 81, ___, 43046721.As mentioned before, there are three basic types of patterns: arithmetic, geometric, and geometric exponential. Let's try all three and see if one fits.Here you can see that geometric-exponential patterns are also geometric. We can use either of these patterns to fill in the blanks.