1. 9.1 Sequences and Series

2. A sequence is a collection of numbers that are ordered. Ex. 1, 3, 5, 7, …. Finding the terms of a sequence. Find the first 4 terms of the sequence whose nth term is a n = 3n - 2 a 1 = 1 a 2 = 4 a 3 = 7 a 4 = 10

3. Find the first 4 terms of a n = 3 + (-1) n Write an expression for the nth term for each of the following sequences. 1, 3, 5, 7, … 2, 5, 10, 17, … a n = 2n - 1 a n = n 2 + 1 2, 4, 2, 4 Multiples: n, 2n, 3n Powers: n 2, n 3, 2 n, 3 n Assignment: 9.1 1-31 odd, 33-36 all, 37-45 odd

4. Factorial = n 4 1 = 28

5. Write the first five terms of the sequence defined recursively a 1 = 15, a k+1 = a k + 3 a 1 = 15 a 2 = a 1+1 = a 1 +3 = 18 a 3 = a 2+1 = a 2 +3 = 21 a 4 = 24 a 5 = 27

6. Summation Notation Ex. 3(1) + 3(2) + 3(3) + 3(4) + 3(5) = 45 2 + 2 + 2 + 2 = 8 = 10 + 17 + 26 + 37 = 90 i0i0

7. Write the sum of the sequence in sigma notation. Hw. 9.1 51-83 odd or