1. Examples Sequences State the "rule" and then write the next three values in the sequence. The "rule" can be in simple language (add 5 each time, double the number). 1) 8, 12, 16, 20... 2) 800, 400, 200,... 3) 50, 47, 44, 41...

2. Examples Sequences Given these explicit formulas for sequences, find the value of the indicated term. 4) a n = 3n find a 6 5) a n = 2n + 7 find a 8 Given these recursive formulas for sequences and the value of the previous term, find the value of the next term. 7) if a 7 = 25 and a n = a n-1 + 7 find a 8 8) if a 4 = 15 and a n = 3 a n-1 find a 5

3. Examples Sequences Find the common difference in these sequences, then write a formula to model the sequence using the explicit formula method. 9A) 21, 30, 39, 48 … 10A) 100, 90, 80, 70 … Using the same sequences above, write a formula to model the sequence using the recursive formula method. a n = f 1 + d(n-1) a n = a (n-1) + d 9B) 21, 30, 39, 48 … 10B) 100, 90, 80, 70 …

4. Examples Sequences Find the common ratio in these sequences, then write a formula to model the sequence using the explicit formula method. 11A) 32, 16, 8, 4 … 12A) Using the same sequences above, write a formula to model the sequence using the recursive formula method. 11B) 32, 16, 8, 4 … 12B) a n = f 1 r (n-1) a n = r a (n-1)

5. Examples Sequences Determine if these sequences are convergent or divergent. If they are convergent, state their limit. If they are divergent, explain why.