Algebra

Lesson

One of the amazing things about mathematics is that you can find examples of mathematical patterns in nature. Whether it's the number of petals in different layers on a flower, the number of ridges on the leaves of a fern plant, or even the sizes of sections in a swirl-shaped shell, patterns are everywhere you look! Try to spot as many as you can the next time you go out for a walk!

A **sequence** is a series of numbers that have an order and have a specific pattern in the order. Getting from one number to the next can be thought of as a step, and the simplest pattern is where we add or subtract the same amount in each step. Let's take a look at the examples below:

To find the next number that follows in a sequence, it's as simple as finding the pattern and applying to the last number. For example, the next number in the decreasing sequence would be $5-3=2$5−3=2.

Find the next number in the sequence:

$7$7, $9$9, $11$11, $13$13, $\editable{}$

Find the next number in the sequence:

$-50$−50 $-45$−45 $-40$−40 $-35$−35 $\editable{}$