# Find The Rule of a Number Pattern

Here we will learn how to find the rule of a number pattern.

Sometimes the set of numbers have something common in them. They follow a pattern or rule.

3     6      9      12      15      18      21      24

In the above number pattern, we have to skip count in three (add 3) to continue the sequence. So, to obtain the next number all you have to do is add 3 to the previous number.

Hence the next number will be 27

Questions and Answers on Find The Rule of a Number Pattern

1. Study the pattern and find the rule. One has been done for you.

Multiply by 2

 2 2 3 6 5 10 7 14

(iii) Odd numbers

2.  Study the pattern and follow the rule to complete them.

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10                         = 55

11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20         = 155

21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 30         = 255

31 + 32 + 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40         = _________

2. 355

3. Complete the following growing or reducing number pattern. Also write rule.

(i) 15, 30, 45, 60, 75, _____, _____

Rule: ______________________________________________

(ii) 1, 2, 3, 4, 5, 6, _____, _____

Rule: ______________________________________________

(ii) 90, 80, 70, 60, 50, _____, _____

Rule: ______________________________________________

3. (i) 90, 105

Rule: Table of 15

(ii) 7, 8

Rule: Counting numbers

(ii) 40, 30

Rule: -10