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1. (3 marks) Find a formula for the nth term of the sequence defined by the third- order recursion tn+3 = 7tn+1 + 6tn

1. (3 marks) Find a formula for the nth term of the sequence defined by the third- order recursion tn+3 = 7tn+1 + 6tn with initial values to = 2, t = -8, t2 = 0. Calculate t3 directly and use it to check your formula. n tn 0 2 1 -8 2 0 3

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