7) Write an equation for the tile pattern and use it to find out how many tiles will there be in figure 32?
1 answer:
9514 1404 393
Answer:
98
Step-by-step explanation:
The numbers of tiles are 5, 8, 11. This is an arithmetic sequence with a first term of 5 and a common difference of 3. The n-th term is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
This sequence has n-th term ...
an = 5 +3(n -1)
Then the 32nd term is ...
a32 = 5 + 3(32 -1) = 5 +93 = 98
Figure 32 will have 98 tiles in it.
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