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19-02-2021
Mathematics

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Using the pattern, create an equation (rule) that describes this pattern.

Using the pattern create an equation rule that describes this pattern class=

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mhanifa mhanifa

19-02-2021

Answer:

a(n) = n² + 4n + 6

Step-by-step explanation:

Stage 1

9 + 2 = 3² + 2

Stage 2

16 + 2 = 4² + 2

Stage 3

25 + 2 = 5² + 2

Equation for stage n:

a(n) = (n + 2)² + 2 = n² + 4n + 4 + 2 = n² + 4n + 6

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