Write out the first several terms of the integer sequence

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Question: 1. Write out the first several terms of the integer sequence defined by a1 = 1, a2 = 2,an = an-1 +2an-2.

(a) How do things change if you begin with a1 = 2, a2 = 1?

(b) What if you begin with a1 = a2 = 1?

2. For each of the following closed forms, write out the first several terms of the sequence (at least five) and use this to create a recurrence for the sequence.

(a) an = 3n + 1

(b) an = 2n + 7

(c) an = 3n2 + n

(d) an = 22n - 1 - 1

Reference no: EM131585355

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