**Step 1:**First of all we are given a pattern in Math. We need to check out whole pattern from the beginning to end.

**Step 2:**Now check whether pattern is in decreasing order or in increasing order. If Numbers are increasing in pattern then next number can be found by addition or multiplication. If numbers are in decreasing order then next number will be result of subtraction or division.

**Step 3:**Now see first 3 or 4 numbers in the pattern and we will find the relationship between them. Let us take a simple example, assume that we have a pattern 1, 3, 6, 10.

Numbers are in increasing order, and then they must be result of addition or multiplication if we add 2 to 1 we will get 3 and when we add 3 to 3 we will get 6. Just like this when we add 4 to 6 we will get 10.

**Step 4:**Now we will write this pattern on paper. As per solution we will get a series as 1, 3, 6, 10, 15, and 21 so on.

We can check this pattern by adding 5 then 6 and then 7 to the pattern. This will give same solution.

So just like above example we can find next terms of a pattern by applying mathematical operations on patterns. So pattern will be expanded as 1, 3, 6, 10, 15, 21, 28, 36, 45, 55 and so on.