Respuesta :

mhanifa

Answer:

  • Recursive: a₁ = 6, aₙ = aₙ₋₁ + 8
  • Explicit: aₙ = 8n - 2

Step-by-step explanation:

Given sequence:

  • 6, 14, 22, 30, 38, ..

We observe that:

  • The sequence is a AP
  • The first term a₁ = 6
  • Common difference is d = 8

The recursive formula:

  • a₁ = 6, aₙ = aₙ₋₁ + 8

The explicit formula:

  • aₙ = a₁ + (n - 1)d = 6 + (n - 1)*8 = 8n - 2

It's an arithmetic progression

  • First term a=6
  • Common difference=d=14-6=8

Explicit formula

  • a_n=a+(n-1)d
  • a_n=6+8(n-1)
  • a_n=8n-2

Otras preguntas