Posted by **Compstudent** on Friday, April 1, 2011 at 1:10pm.

So = 2

S1 = 5

Sn = - Sn - 1 + nSn - 2, n >_ 2

How do I interpret the value of n? Is this number equivalent to S1, S0, or 2? I have tried each option; finding S3 is difficult because I don't know what value to multiply Sn-2 with, when solving for S2. Your assistance would be very helpful:)

- Discrete Math -
**MathMate**, Friday, April 1, 2011 at 9:14pm
Substitute n for the value you need, but you have to do them in order:

So = 2

S1 = 5

S_{2} = - S_{2-1} + 2S_{2-2}

= - S_{1} + 2S_{0}

= -5 + 2*2

= -1

S2=1

S3=-S2+2*s1

=-(-1) + 2*5

=11

and so on.

Unfortunately, you will have to calculate all the terms in sequence for a recurrence relation UNLESS you solve for the sequence in terms of the initial terms.

I believe you are at the point where you need to be able to evaluate in sequence and understand the notations.

Sn = - Sn - 1 + nSn - 2, n >_ 2

- Discrete Math correction -
**MathMate**, Friday, April 1, 2011 at 9:15pm
S2=-1

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