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We can see from this diagram that for each new figure,
we are adding 4 dots and 5 lines.

I will leave you to work out part (a). It is simple.
You just have to work out Figure 5 and then Figure 6.

Let's call the 2 dots Figure 0. Then
- Figure 0 has 2 + 0 x 4 dots
- Figure 1 has 2 + 1 x 4 dots
- Figure 2 has 2 + 2 x 4 dots
  ...
- Figure N has 2 + N x 4 dots

So for part (b), 2 + 4N = 150. That means N = (150-2)/4 = 37.
Figure 37 has 150 dots.

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