Question

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

Answer 1

C).4, 2.75, 1.5, 0.25, –1, . . .

Explanation:

Answer 2

f(1) = 4; f(n+1) = f(n) - 1.25

f(1) = 4

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

f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.50

f(4) = 1.50 - 1.25 = 0.25

f(5) = 0.25 - 1.25 = -1

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

Sequence: 4, 2.75, 1.50, 0.25, -1, -2.25, ...