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2 years ago

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:

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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→ remember to apply "subject making knowledge"

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