1Convergent, 0Divergent Convergent 150Convergent 28.78787878 22091.946 3|r| < 1 459th term0.958...
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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 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 x 5 - 15x 4 + 90x 3 - 270x 2 + 405x - 243 16 -16,796,160 17 8 + -36b 2 + 54b 4 + -27b 6 1 8 0.322 19. a. 0.493 b. 0.9999078
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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, 2.109375,... 82097151 9a 1 = 17 a n = a n-1 + 8 n > 1 1022.5 miles 11-5030044408920906.885 - PowerPoint PPT Presentation
Transcript of 1Convergent, 0Divergent Convergent 150Convergent 28.78787878 22091.946 3|r| < 1 459th term0.958...
1 Convergent, 0 DivergentConvergent 150 Convergent 28.78787878
2 2091.9463 |r| < 14 59th term 0.9585 Example an = 3n3 +3n
2n6 28 terms7 Example 5, 3.75, 2.8125, 2.109375,...8 20971519 a1 = 17
an = an-1 + 8 n > 110 22.5 miles11 -50300 44408920906.88512 46.2222221863 46.2222222222222213 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 infinity14 a. 88200
b. 495c. 1860480d. 190
15 x5 - 15x4 + 90x3 - 270x2 + 405x - 24316 -16,796,16017 8 + -36b2 + 54b4 + -27b6
18 0.32219. a. 0.493
b. 0.9999078
Functions ReviewChapter 8
an = -3n + 17write as a recursive formula
lim 3x5 + 18x3 -7 3x2 + 5x5 +2
4x11 - 300 10x11 + 5x9 +( )
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Find the sum of the following series5 + 8 + 11 + … + 1808 + 1811
Evaluate
An infinite geometric sequence has a constant ratio of 1/5 and a sum of 218. Find its first term.
A classroom has 15 females and 11 males. How many groups of 5 with exactly 3 females are possible?
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What is the fifth term in row 11 of Pascal's Triangle?
What is the coefficient of the x4w8 term in the expansion of (5x - 3w)12?
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Find the probability of rolling 10 six sided dice and getting at least 8 fives.
The sum of first 68 terms of an arithmetic series is 10591. If the first term is 5, what is the constant difference?
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Write an explicit expression that gets closer and closer to 12/19 as you have more and more terms.
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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?
In Pascal's Triangle, what is the highest row number with a sum less than 200,000?
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Expand and simplify without a calculator.
(2x5 + y3)4
Last question coming up next!
What are the 5 characteristics of a binomial experiment?
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1. a1 = 14an = an-1 - 3 n>1
2. 13.4. 5475245. 179.998986.7. 174.48. 250259.10 33011 20298093751213 .0001944914 4.51516 Example bn = 3x2 + 12x5
19x5
17 Divergent1819 22020 17th row2122 16x20 + 32x15y3 + 24x10y6 + 8x5y9 + y12
23 there are repeated trialstrails are independentfixed number of trialsprobabilities are the same for
each trail2 outcomes
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