1. Geometric Sequences and Series Notes 9.2

2. Notes 9.2 Geometric Sequences  a n =a 1 r n-1 a 1 is the first term r is the ratio n is the number of terms

3. Find the formula and the 13 th term. 1. 4, 16, 64, ….2. 81, 27, 9, ….

4. 3.Find the first term if a 8 =8192 and r=4.

5. Geometric Series

6. Find the sum. 4. a 1 =8, r = -2, n = 75. a 1 =5, r = - ½, n = 6

7. Infinite Geometric Series  The sum of a geometric series: Diverges if lrl > 1 or lrl = 1 Converges if lrl < 1  Converges to

8. Determine if the infinite geometric series converges or diverges. If it converges, what does it converge to. 6. 8 + 2 + ½ + …7. 2 + 4 + 8 + ….

9. Suppose you have just been hired by PWCS at a starting salary of $43,000. You expect to receive an annual increase of 3% per year. What will your salary be in your 5 th year?

10.  CW: CW/HW 9.2 odds, + p.857 #49,51,71  HW: CW/HW 9.2 evens + p.857 #53,54,67, 72,78 Quiz next class on 9.1-9.2