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

Answer 1

thank u for helping me

Answer 2

@Teamus1021
You can try finding the values of f(2), f(3), and f(4)
to try to see which equation matches what you got

Answer 3

i dont know much about algebra can u break it down more for me im just learning

Answer 4

would it be the 1st one

Answer 5

Of course, we can do this step by step ^_^

I think we should try the process of ellimination
first, we are given that f(1) = 8 for every choice

then let's take A for example
f(n + 1) = f(n) + 3

if n = 1
then
f(2) = f(1) + 3

do you see how I got that? :)

Answer 6

yes alittle bit

Answer 7

the idea is that we want to know if f(2) = 5 or not

with the equation from A
f(2) = f(1) +3
we plug in f(1) = 8
to get

f(2) = 8 + 3

right? :)

Answer 8

yes

Answer 9

o its the last one we have to subtract to get 5 right

Answer 10

Perfect!
You got it :D
well done ^_^

Answer 11

thanz

Answer 12

i have one more can u help

Answer 13

sure thing ^_^
make a new question and tag me there :)

Answer 14

An airplane ascends at the rate of 40 feet per minute. The function below shows the height of the airplane from the ground f(t) after t minutes.
f(t) = 40t + 520

Which statement best describes the y intercept of the graph of the function?

Answer 15

It is equal to 520 and represents the height of the airplane above the ground, in feet, after 1 minute.

It is equal to 560 and represents the height of the airplane above the ground, in feet, after 1 minute.

It is equal to 40 and represents the height of the airplane above the ground, in feet, before it starts ascending.

It is equal to 520 and represents the height of the airplane above the ground, in feet, before it starts ascending.

Answer 16

it wants us to examine the "y intercept" of the given equation

it is in the y intercept form
y = mx + b
where b is the y intercept

Answer 17

so we should be looking for the answer choice that involves the number 520
because 520 is the y intercept in the equation
f(t) = 4t + 520