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Use geometric relationship to develop the sequence represented in the table

Use geometric relationship to develop the sequence represented in the table-example-1

1 Answer

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The first figure has 3 tiles

The second figure has 8 tiles

The third figure has 15 tiles

The 4th figure has 24 tiles

The 5th figure has 35 tiles

The 6th figure has 48 tiles

Each time we increased row and column

So the rule is

a(n) = n(n + 2)

Let us use the rule to find figure 46

n = 46


a_(46)=46(46+2)=2208

The number of tiles in figure 46 is 2208

User Ecoffey
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