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tensa zangetsu [6.8K]
3 years ago
7

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

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

Answer:

  • a(n) = n² + 4n + 6

Step-by-step explanation:

<u>Stage 1</u>

  • 9 + 2 = 3² + 2

<u>Stage 2 </u>

  • 16 + 2 = 4² + 2

<u>Stage 3</u>

  • 25 + 2 = 5² + 2

<u>Equation for stage n:</u>

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