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Here is figure 6 and three more figures.Enter an expression for figure n to solve them all at once.FigureNumber of Tiles61911812Check My Work

Question

Enter an expression for figure n to solve them all at once.

Figure Number of Tiles
6 19
11 18
12

Check My Work

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Solution

The pattern seems to be increasing by 3 tiles each time.

For Figure 6, there are 19 tiles. For Figure 7, there are 22 tiles (19 + 3). For Figure 8, there are 25 tiles (22 + 3). For Figure 9, there are 28 tiles (25 + 3).

So, the expression for Figure n would be 3n + 16.

This is because the first figure (Figure 6) has 19 tiles, which is 36 + 1. The "+1" adjusts the pattern to start at 19 instead of 18 (which would be the result of 36).

So, for any figure number n, the number of tiles would be 3n + 1.

This problem has been solved

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