The first four terms of a sequence are shown below:

8, 5, 2, −1

Which of the following functions best defines this sequence?

f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1
f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1
f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1
f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Question

The first four terms of a sequence are shown below:

8, 5, 2, −1

Which of the following functions best defines this sequence?

f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1
 f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1
 f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1
 f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Vocaloid · Answer

do you see a pattern in the 4 numbers? are the numbers increasing/decreasing by a certain amount each time?

nolegirl24 · Answer

Okay they are decreasing by 3 each time. Also that knocks out B and C right?

Vocaloid · Answer

good so your function rule is just f(n) - 3 (D)

nolegirl24 · Answer

Oh because it is decreasing not increasing so it would have a minus sign

Vocaloid · Answer

yup

nolegirl24 · Answer

Thanks again