Question

Help please D:
A recursive function is shown below:

f(1) = 5 and f(n) = f(n - 1) - 6; n > 1

Which of the following lists the terms in the sequence defined by this recursive function?

Choices:
5, 1, 7, 13, 19, ...

5, -1, -7, -13, -19, ...

5, 11, 17, 23, 29, ...

5, -11, -17, -23, -29, ...

Answer 1

Hmm, I'm pretty sure the kitty goes.... meow <.<
but anyway, we have a recursive function for n values larger than 1.
\(\Large\rm f(\color{orangered}{n})=f(\color{orangered}{n}-1)-6\)
So for n=2 we have:
\(\Large\rm f(\color{orangered}{2})=f(\color{orangered}{2}-1)-6\)
\(\Large\rm f(\color{orangered}{2})=f(1)-6\)
They told us that f(1)=5, yes?

Answer 2

\(\Large\rm f(2)=5-6\)
So we just plug it in.
Understand how that works? :d

Answer 3

sort of ._.

Answer 4

not really lol, i'm confused

Answer 5

can you explain to me how it works?

Answer 6

Hmm function notation takes some getting used to :c

Answer 7

oh

Answer 8

See the way I color coded the n's in the first formula?
You replace all of the n values at the same time.

n corresponds to the term in the sequence.
So n=1 corresponds to f(1) which gives us our first term 5.
n=2 corresponds to f(2) which gives us our second term.

\(\Large\rm f(n)=f(n-1)-6\)
So we plug 2 in for our n's,
\(\Large\rm f(2)=f(2-1)-6\)
I feel like I'm repeating myself :c
I can't think of another way to explain it.

Answer 9

It's fine, I'll leave that question aside and do it later ^-^ thanks for helping though