Respuesta :

mhanifa

Answer:

aₙ=n(n+2)

Step-by-step explanation:

The sequence:

3, 8, 15, 24, 36, ...

It is easy to notice that:

  • a₁= 3= 2²-1
  • a₂= 8=3²-1,
  • a₃= 15= 4²-1,
  • a₄= 24= 5²-1,
  • a₅= 35= 6²-1

...

so the nth term is:

  • aₙ= (n+1)²-1

or

  • aₙ= (n+1)² - 1 = n²+2n = n(n+2)

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