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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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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
Functions Review Chapter 8
an = -3n + 17 write as a recursive formula
4x11 - 300 3x5 + 18x3 -7 ) ( + lim 10x11 + 5x9 3x2 + 5x5 +2
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Find the sum of the following series 5 + 8 + 11 + … + 1808 + 1811
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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 coefficient of the x4w8 term in the expansion of (5x - 3w)12?
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
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