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Can anyone help out with this?

Can anyone help out with this?-example-1

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9514 1404 393

Answer:

(x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

Explanation:

Each figure consists of two small squares and a square that has a side length of 1 more than the figure number. That is, ...

f(x) = (x +1)^2 +2

You can count the squares in figures 1-3. Figure 4 will be 2 more squares than 5^2 = 25, so will be 27 squares.

(x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

User Steve Bradshaw
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