Question

Here is a pattern of dots.

Answer 1

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

$T_n = (n -1)^2+ 3$

When n = 10, we have:

$T_{10} = (10 -1)^2+ 3$

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

Read more about sequence at:

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