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1Convergent, 0Divergent Convergent 150Convergent 28.78787878 22091.946 3|r| < 1 459th term0.958 5Examplea n = 3n 3 +3n 2n 628 terms 7Example5, 3.75, 2.8125,

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Presentation on theme: "1Convergent, 0Divergent Convergent 150Convergent 28.78787878 22091.946 3|r| < 1 459th term0.958 5Examplea n = 3n 3 +3n 2n 628 terms 7Example5, 3.75, 2.8125,"— Presentation transcript:

1 1Convergent, 0Divergent Convergent 150Convergent 28.78787878 22091.946 3|r| < 1 459th term0.958 5Examplea n = 3n 3 +3n 2n 628 terms 7Example5, 3.75, 2.8125, 2.109375,... 82097151 9a 1 = 17 a n = a n-1 + 8 n > 1 1022.5 miles 11-5030044408920906.885 1246.222222186346.22222222222222 13Divergent, 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 14a.88200 b.495 c.1860480 d.190 15x 5 - 15x 4 + 90x 3 - 270x 2 + 405x - 243 16-16,796,160 178 + -36b 2 + 54b 4 + -27b 6 1 80.322 19.a.0.493 b.0.9999078

2 Functions Review Chapter 8

3 a n = -3n + 17 write as a recursive formula

4 lim 3x 5 + 18x 3 -7 3x 2 + 5x 5 +2 4x 11 - 300 10x 11 + 5x 9 + ( )

5 ?????? ? Name the Movie and Character(s)

6 Find the sum of the following series 5 + 8 + 11 + … + 1808 + 1811

7 Evaluate

8 Name the Movie and Character(s) ?????? ?

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

10 A classroom has 15 females and 11 males. How many groups of 5 with exactly 3 females are possible?

11 ?????? ? Name the Movie and Character(s)

12 What is the fifth term in row 11 of Pascal's Triangle?

13 What is the coefficient of the x 4 w 8 term in the expansion of (5x - 3w) 12 ?

14 ?????? Name the Movie and Character(s)

15 Find the probability of rolling 10 six sided dice and getting at least 8 fives.

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

17 Name the Movie and Character(s) ?????? ?

18 Write an explicit expression that gets closer and closer to 12/19 as you have more and more terms.

19

20 Name the Movie and Character(s) ?????? ?

21 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?

22 In Pascal's Triangle, what is the highest row number with a sum less than 200,000?

23 Name the Movie and Character(s) ?????? ?

24 Expand and simplify without a calculator. (2x 5 + y 3 ) 4

25 Last question coming up next!

26 What are the 5 characteristics of a binomial experiment?

27 ????? Name the Movie and Character(s)

28 1.a 1 = 14 a n = a n-1 - 3 n>1 2.1 3. 4.547524 5.179.99898 6. 7.174.4 8.25025 9. 10330 112029809375 12 13.00019449 144.5 15 16Exampleb n = 3x 2 + 12x 5 19x 5 1 7Divergent 18 19220 2017th row 21 2216x 20 + 32x 15 y 3 + 24x 10 y 6 + 8x 5 y 9 + y 12 2 3there are repeated trials trails are independent fixed number of trials probabilities are the same for each trail 2 outcomes

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