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For each of the following closed forms write out the first

Question: 1. Write out the first several terms of the integer sequence defined by a₁ = 1, a₂ = 2,a_n = a_n-1 +2a_n-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) a_n =3n + 1

(b) a_n= 2n + 7

(d) a_n = 2^{2n - 1} - 1

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Mathematics: For each of the following closed forms write out the first

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