The dots in the patterns are illustrations of a sequence or progression
- The number of dots in step 10 is 84
- The number of dots in step n is (n -1)^2+ 3
The number of dots in step 10
From the pattern, we have:
- Step 0 = 3 dots
- Step 1 = 4 dots
- Step 2 = 7 dots
- Step 3 = 12 dots
So, we have the following pattern
[tex]T_n = (n -1)^2+ 3[/tex]
When n = 10, we have:
[tex]T_{10} = (10 -1)^2+ 3[/tex]
T10 = 84
This means that, there will be 84 dots in step 10 and there will be (n -1)^2+ 3 dots in step n
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