# Question Video: Describing the Rule for an Arithmetic Pattern Mathematics

Describe the rule for this number pattern 7, 22, 37, 52, 67, ....

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### Video Transcript

Describe the rule for this number pattern, seven, 22, 37, 52, 67.

We have to find the rule for the number pattern. In other words, we have to work out what is happening to the numbers each time. We can see that the numbers are increasing or getting bigger, seven, 22, 37, 52, 67. That means we’re adding something each time. We have to work out how much to add each time. Let’s start by thinking about the first two numbers in the pattern. We start at seven and the second number is 22.

What do we need to add to seven to get to 22? Seven add three makes 10. 10 and 10 more takes us to 20. And two more takes us to 22. We added three and then 10. So we’ve added 13 so far and then two more makes 15. So the rule for the pattern is to add 15. Let’s check that 22 add 15 makes 37. 22 add five is 27. 27 add 10 is 37. 22 plus 15 is 37. We’ve worked out the rule of the pattern. We’re adding 15 each time. Seven, 22, 37, 52, 67. The numbers are increasing by 15.