Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8

The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...How to determine the elements of the recursive definition of f?The function definition is given asf(1) = 4f(n + 1) = f(n) - 1.25 for n ≥ 1Set n = 1So, we have the following representationf(1 + 1) = f(1) - 1.25This givesf(2) = f(1) - 1.25So, we havef(2) = 4 - 1.25 = 2.75Set n = 2So, we have the following representationf(2 + 1) = f(2) - 1.25This givesf(3) = f(2) - 1.25So, we havef(3) = 2.75 - 1.25 = 1.5So, we have4, 2.75, 1.5...The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...Hence, the sequence is (c) 4, 2.75, 1.5...Read more about sequence atbrainly.com/question/6561461#SPJ1