Question

10 Identical square tiles are used to make the following pattern.

Figure 1
2 tiles
Figure 2
8 tiles
Figure 3
18 tiles
If the pattern continues, which figure will have 98 tiles?
Figure 4
32 tiles

Answer 1

Figure 7 will have 98 tiles.

Step-by-step explanation:

Figure 1 : 2 tiles

Figure 2 : 8 tiles

Figure 3 : 18 tiles

Figure 4 : 32 tiles

It is a quadratic function.

Equation: 2x²

To reach 98 tiles:

2x² = 98

x² = 49

x = √49

x = 7