Discrete Math

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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 -

    Substitute n for the value you need, but you have to do them in order:
    So = 2
    S1 = 5

    S2 = - S2-1 + 2S2-2
    = - S1 + 2S0
    = -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 -

    S2=-1

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