Question

Which sequence can be defined by the recursive formula f(1) = 4, f (n + 1) = f(n) - 1.25 for n 2 1?

Answer 1

Answer:

the third option

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

Step-by-step explanation:

the first value in the sequence is 4.

that eliminates already answer options 1 and 2.

and the values are going down, as we continuously subtract 1.25 from the previous sequence number.

but answer option 4 shows a sequence, where the values go up.

so, only option 3 remains and is correct

4-1.25 = 2.75

2.75-1.25 = 1.5

1.5-1.25 = 0.25

0.25-1.25 = -1

...