Express Sn as a function of n.

I need to figure out this function before I can do the actual problem that concerns the function. I don't know why I'm having so much trouble with this, but I just can't figure it out!

S(0) = 1, S(1) = 0, and S(n+1) = 3S(n) – 2S(n-1)

Express S(n) as a function of n.

And the letters/numbers in parenthesis are supposed to be subscripts of each S.

These are the first 6 numbers in the sequence.

S(0) = 1

S(1) = 0

S(2) = -2

S(3) = -6

S(4) = -14

S(5) = -30

S(6) = -62

Any help?

Re: Express Sn as a function of n.

Quote:

Originally Posted by

**jessaray** I need to figure out this function before I can do the actual problem that concerns the function. I don't know why I'm having so much trouble with this, but I just can't figure it out!

S(0) = 1, S(1) = 0, and S(n+1) = 3S(n) – 2S(n-1)

Express S(n) as a function of n.

And the letters/numbers in parenthesis are supposed to be subscripts of each S.

These are the first 6 numbers in the sequence.

S(0) = 1

S(1) = 0

S(2) = -2

S(3) = -6

S(4) = -14

S(5) = -30

S(6) = -62

Any help?

What have you tried? As always there is a bit of trial and error when looking for a pattern. Starting with what is the difference between the sucessive terms? Look and see if you can see a pattern.

Re: Express Sn as a function of n.

Re: Express Sn as a function of n.

Quote:

Originally Posted by

**TheEmptySet** What have you tried? As always there is a bit of trial and error when looking for a pattern. Starting with

what is the difference between the sucessive terms? Look and see if you can see a pattern.

Just for completeness I will finish what I had hinted at.

There is a pattern here. the difference between

So know we know the solution is of the form mentioned in Prove It's post.