Which sequence can be defined by the recursive formula f (1)=4 f(n+1)=f(n)-1.25 for n>1
The sequence defined by the recursive formula f(1) = 4 and f(n + 1) = f(n) - 1.25 for n > 1 can be written as:
f(1) = 4
f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75
f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5
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
...
So, the sequence would be: 4, 2.75, 1.5, 0.25, -1, -2.25, ...