1. 1. Find these terms of the sequence {an}, where an = 2 (−3)n + 5n.a) a0 b) a1 c) a4 d) a5

3. Find the first five terms of the sequence defined by each of these recurrence relations andinitial conditions.a) an = 6an−1, a0 = 2 b)21 1, 2n na a a  c) an = an−1 + 3an−2, a0 = 1, a1 = 2

2. What is the term a8 of the sequence {an} if an equalsa) 2n−1? b) 7? c) 1 + (−1)n? d) −(−2)n?

The nth term of a sequence is given.an = 4(−0.5)n − 1(a) Find the first five terms of the sequence.a1 = a2 = a3 = a4 = a5 = (b) What is the common ratio r?

4. Find the solution to each of these recurrence relations and initial conditions.a) an = −an−1, a0 = 5 b) an = an−1 + 3, a0 = 1 c) an = an−1 − n, a0 = 4d ) an = 2nan−1, a0 = 3 e) an = 5an−1 − 6an−2, a0 = 2, a1 = −1

Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4(3)n