1. 1 3 6 10 15 21 28 36 45 55 Here is the list of triangular numbers.
I wonder what happens when you add consecutive triangular numbers.
That must give some kind of pattern.
Kareem

2. I can’t see anything yet.1 3 6 10 15 21 28 36 45 55
I can’t see anything yet.
1+3= 4
3+6= 9
6+10= 16

3. Let’s combine the first and second triangular numbers.

4. Let’s combine the second and third triangular numbers.

5. Let’s combine the third and fourth triangular numbers.

6. (n+1)th triangular number

7. 144 dots in total 81 dots in total n 1 2 3 4 5 6 7 8 9 10 11 12 13 1415 16
Δ 𝑛 21 28 36 45 55 66 78 91
105
120
136
144 dots in total
81 dots in total

8. 64 dots in total 256 dots in total n 1 2 3 4 5 6 7 8 9 10 11 12 13 1415 16
Δ 𝑛 21 28 36 45 55 66 78 91
105
120
136
64 dots in total
256 dots in total