Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

4, 2.75, 1.5, 0.25, - 1, - 2.25,

Step-by-step explanation:

Using the recursive formula with f(1) = 4, then

f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75

f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5

f(4) = f(3) - 1.25 = 1.5 - 1.25 = 0.25

f(5) = f(4) - 1.25 = 0.25 - 1.25 = - 1

f(6) = f(5) - 1.25 = - 1 - 1.25 = - 2.25

Sequence is 4, 2.75, 1.5, 0.25, - 1, - 2.25,

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

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