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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:)

Question ID
523947

Created
April 1, 2011 5:10pm UTC

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0

URL
https://questions.llc/questions/523947

Answers
2

Views
804

2 answers

  1. 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

    Answer ID
    524102

    Created
    April 2, 2011 1:14am UTC

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    0

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  2. S2=-1

    Answer ID
    524104

    Created
    April 2, 2011 1:15am UTC

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    0

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