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1 Convergent, 0 Divergent Convergent 150 Convergent 28.78787878 2 2091.946 3 |r| < 1 PowerPoint Presentation
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1 Convergent, 0 Divergent Convergent 150 Convergent 28.78787878 2 2091.946 3 |r| < 1 4 59th term 0.958 5 Example a n = 3n 3 +3n 2n 6 28 terms 7 Example 5, 3.75, 2.8125, 2.109375,... 8 2097151 9 a 1 = 17 a n = a n-1 + 8 n > 1 10 22.5 miles 11 -50300 44408920906.885

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slide1

1 Convergent, 0 Divergent

Convergent 150 Convergent 28.78787878

2 2091.946

3 |r| < 1

4 59th term 0.958

5 Example an = 3n3 +3n

2n

6 28 terms

7 Example 5, 3.75, 2.8125, 2.109375,...

8 2097151

9 a1 = 17

an = an-1 + 8 n > 1

10 22.5 miles

11 -50300 44408920906.885

12 46.2222221863 46.22222222222222

13 Divergent, because the ratio is 3.33333 which is larger than one, so the sequence grows to infinity and the series will also grow to infinity

14 a. 88200

b. 495

c. 1860480

d. 190

15 x5 - 15x4 + 90x3 - 270x2 + 405x - 243

16 -16,796,160

17 8 + -36b2 + 54b4 + -27b6

18 0.322

19. a. 0.493

b. 0.9999078

slide3

an = -3n + 17

write as a recursive formula

slide4

4x11 - 300

3x5 + 18x3 -7

)

(

+

lim

10x11 + 5x9

3x2 + 5x5 +2

slide6

Find the sum of the following series

5 + 8 + 11 + … + 1808 + 1811

slide8

???????

Name the Movie and Character(s)

slide9

An infinite geometric sequence has a constant ratio of 1/5 and a sum of 218. Find its first term.

slide16

The sum of first 68 terms of an arithmetic series is 10591. If the first term is 5, what is the constant difference?

slide21

No calculator.

In a class of 12 students a teacher needs to pick 3 students to go shopping for the end of the year party. How many ways can this be done?

slide23

???????

Name the Movie and Character(s)

slide28

1. a1 = 14

an = an-1 - 3 n>1

2. 1

3.

4. 547524

5. 179.99898

6.

7. 174.4

8. 25025

9.

10 330

11 2029809375

12

13 .00019449

14 4.5

15

16 Example bn = 3x2 + 12x5

19x5

17 Divergent

18

19 220

20 17th row

21

22 16x20 + 32x15y3 + 24x10y6 + 8x5y9 + y12

23 there are repeated trials

trails are independent

fixed number of trials

probabilities are the same for each trail

2 outcomes