Respuesta :

mhanifa

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