Respuesta :

The first five terms of given sequence are: -5.25, -3.5, -1.75, 0 and 1.75

Step-by-step explanation:

Given

f(1) = -5.25

[tex]f(n) = f(n-1)+1.75[/tex]

Putting n=2

[tex]f(2) = f(2-1)+1.75\\=f(1)+1.75\\=-5.25+1.75\\=-3.5[/tex]

Putting n=3

[tex]f(3) = f(3-1)+1.75\\=f(2)+1.75\\=-3.5+1.75\\=-1.75[/tex]

Putting n=4

[tex]f(4) = f(4-1)+1.75\\=f(3)+1.75\\=-1.75+1.75\\=0[/tex]

Putting n=5

[tex]f(5) = f(5-1)+1.75\\=f(4)+1.75\\=0+1.75\\=1.75[/tex]

The first five terms of given sequence are: -5.25, -3.5, -1.75, 0 and 1.75

Keywords: Sequence, Function

Learn more about sequence at:

  • brainly.com/question/10941043
  • brainly.com/question/10978510

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