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Mkey [24]
2 years ago
13

7) Write an equation for the tile pattern and use it to find out how many tiles will there be in figure 32?

Mathematics
1 answer:
Dafna11 [192]2 years ago
7 0

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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