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1. [6 marks] (a) Find a direct formula for the n-th term of the sequence (tn ) defined recursively by t1 = -1, tn =

1. [6 marks] (a) Find a direct formula for the n-th term of the sequence (tn ) defined recursively by t1 = -1, tn = tn-1+4, n>2 (b) Find a recursive definition of the sequence with general term 3n+1 tn = n21 n

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