contestada

Sequences:
Determine the first five terms of the following sequences:

A. [tex]a_{n} = \frac{2n+3}{4}[/tex]

B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]

Respuesta :

mhanifa

Answer:

A.

  • aₙ = (2n + 3)/4

The first 5 terms:

  • a₁ = (2*1 + 3) / 4 = 5/4
  • a₂ = (2*2 + 3) / 4 = 7/4
  • a₃ = (2*3 + 3)/ 4 = 9/4
  • a₄ = (2*4 + 3) / 4 = 11/4
  • a₅ = (2*5 + 3) / 4 = 13/4

B.

  • aₙ = (n - 3)/(n - 2)

The first 5 terms:

  • a₁ = (1 - 3) / (1 - 2) = 2
  • a₂ = (2 - 3) / (2 - 2) = undefined
  • a₃ = (3 - 3)/ (3 - 2) = 0
  • a₄ = (4 - 3) / (4 - 2) = 1 / 2
  • a₅ = (5 - 3) / (5 - 2) = 2 / 3