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

7) Write an equation for the tile pattern and use it to find out how many tiles will-example-1
User GuyH
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1 Answer

2 votes

9514 1404 393

Answer:

98

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.

User ClicheName
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