Successfully reported this slideshow.
Upcoming SlideShare
×

# Alg2 lesson 11-2 and 11-4

498 views

Published on

• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

### Alg2 lesson 11-2 and 11-4

1. 1. An arithmetic series is the sum of theindicated terms of an arithmetic sequence. 4, 6, 8 arithmetic sequence 4+6+8 arithmetic series
2. 2. Find the sum: 6 + 13 + 20 + 27 + 34 + 41 + 48S7 = 6 + 13 + 20 + 27 + 34 + 41 + 48S7 = 48 + 41 + 34 + 27 + 20 + 13 + 62S7 = 54 + 54 + 54 + 54 + 54 + 54 + 54 2S7 = 7(54) S7 = 7(54) = 189 2
3. 3. Find the sum of the first 20 even numbers, beginningwith 2.
4. 4. Find the first four terms of an arithmetic series inwhich 17 20 23 26 14+__+__+__+__+29=129 +d +d +d +d +d 14 14 + 5d = 29 5d = 15 d=3
5. 5. Sn = 4 + 8 + 12 + 16 + 20Sigma notation can be used to express anarithmetic seriesLast value for n Formula for generating terms First value for n
6. 6. How many terms are in the series10 – 5 + 1 = 6 termsWhat are the terms a1 = 2(5) + 3 = 13in the series? a2 = 2(6) + 3 = 15 a3 = 2(7) + 3 = 17 a4 = 2(8) + 3 = 19 a5 = 2(9) + 3 = 21 a6 = 2(10) + 3 = 23
7. 7. Evaluate 6 terms 6 6 13 23 a1 = 2(5) + 3 = 13 6 a6 = 2(10) + 3 = 23 = 3(36) = 108
8. 8. Geometric Series
9. 9. If a1 + a2 + … + an is a geometric series,then the sum of the terms of the series is or a1 is the first term r is the common ratio n is the number of terms in the series an is the last term
10. 10. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
11. 11. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
12. 12. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
13. 13. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
14. 14. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
15. 15. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
16. 16. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
17. 17. 3 + 6 + 12 + 24 + 48 + 96 a1 = 3 r=2 n=6 an = 96
18. 18. Evaluate
19. 19. Find a1 in a geometric series for whichand