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
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.
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