Question

The first four terms of a sequence are shown below:

7, 4, 1, -2

Which of the following functions best defines this sequence?

f(1) = 7, f(n + 1) = f(n) + 3; for n ≥ 1
f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1
f(1) = 7, f(n + 1) = f(n) + 4; for n ≥ 1

Answer 1

Hey Misty :)
Are you able to determine the `common difference`?
How much is each term changing by as we go along from one to the next?

Answer 2

Hey :P
Would it be 4?

Answer 3

<3

Answer 4

...

Answer 5

From 7 to 4,
hmm that's not a change of 4, doesn't sound quite right :)

Answer 6

I meat 3 xD

Answer 7

mmm meat <3

Answer 8

MEANT

Answer 9

wow i fail at life

Answer 10

Ok great :)
and it's a `decrease` of 3, ya?

Answer 11

So we've determined that:
\(\large\rm \text{next term}=\text{previous term}-3\)

Do any of your options look like that?

Answer 12

2nd one i believe

Answer 13

f(n+1) is next term,
f(n) is the term before that,
so ya, looks like it!


Yay good job \c:/

Answer 14

Thx ^.~