I am confused with rule of pattern

1,3,6, I figured out 10 is the next number

Rule: find the difference and add 1 to the next item

correct.

Tn = 1+2+3+...+n = n(n+1)/2

Thank you

To understand the rule of this pattern, let's break it down step by step:

1. Look at the given numbers: 1, 3, 6.
2. Find the differences between each consecutive pair of numbers:
- Difference between 3 and 1 = 2
- Difference between 6 and 3 = 3
3. Add 1 to each difference:
- 2 + 1 = 3
- 3 + 1 = 4
4. Now, add the calculated differences to the last given number to get the next number in the pattern:
- 6 + 3 = 9
- 9 + 4 = 13

So, based on the given pattern and the rule "find the difference and add 1 to the next item," the next number in the pattern is 13.