Question

A sequence of figures is created with dots as shown. If this pattern continues, how many dots will be in Figure 5?

• A. 59
• B. 67
• C. 65
• D. 61

Answer 1

The correct option is D 61

In this pattern, the dots are forming a hexagon shape. Each subsequent figure constructs another hexagon around the previous figure. The numeric pattern that emerges is addition of multiples of 6 (note: a hexagon has six-sides). Figure 5 will therefore have 1 + 6(1) + 6(2) + 6(3) + 6(4) = 1 + 6 + 12 + 18 + 24 = 61 dots.