Formulas for Sequences

1. SECTION 8-1
Formulas for Sequences

2. WARM-UP
Write the first six terms of each sequence.
⎧a1 = 2
⎪
1. ⎨
⎪an = an−1 + 2n −1, for int n ≥ 2
⎩
2. an = n +1, for int n ≥1
2
3. What do you notice about your answers for 1 and 2?

3. WARM-UP
Write the first six terms of each sequence.
⎧a1 = 2
⎪
1. ⎨
⎪an = an−1 + 2n −1, for int n ≥ 2
⎩
a1 = 2, a2 = 5, a3 = 10, a4 = 17, a5 = 26, a6 = 37
2. an = n +1, for int n ≥1
2
3. What do you notice about your answers for 1 and 2?