Consider the recursively defined function below. f (1) = - 5.25 f (n) = f (n-1) + 1.75, for n=2,3,4, ... Create the first five terms of the sequence defined by the given function. Tiles: [-7.5], [-1.5], [-1.75], [-5.25], [1.75], [-3.5], [0], [1.5] Sequence:?

N=1→f (n) = f (1) = - 5.25 (First term)

f (n) = f (n-1) + 1.75, for n=2, 3, 4, ...

Second term:

n=2→f (2) = f (2-1) + 1.75=f (1) + 1.75=-5.25+1.75→f (2) = - 3.5

Third term:

n=3→f (3) = f (3-1) + 1.75=f (2) + 1.75=-3.5+1.75→f (3) = - 1.75

Fourth term:

n=4→f (4) = f (4-1) + 1.75=f (3) + 1.75=-1.75+1.75→f (4) = 0

Fifth term:

n=5→f (5) = f (5-1) + 1.75=f (4) + 1.75=0+1.75→f (5) = 1.75

Answer:

Sequence of the terms:

First, second, third, fourth, fifth:

-5.25, - 3.5, - 1.75, 0, 1.75