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9 February, 15:02

Find the first four terms of the following recurrence relationship: Un+2=2Un+1+Un, U1=3, U2=5

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  1. 9 February, 15:12
    0
    If we use U1 and U2 we can work out U3 by substituting U1 for Un and U2 for Un+1

    U3 = 2*5 + 3 = 13

    We can do the same for U4:

    U4 = 2*13 + 5 = 31

    Therefore:

    U1 = 3

    U2 = 5

    U3 = 13

    U4 = 31
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