Problem 1RE: Write the first four terms of the sequence defined by the recursive formula a1=2,an=an1+n. Problem 2RE: Evaluate 6!(53)!3! Problem 3RE: Write the first four terms of the sequence defined by the explicit formula a an=10n+3 . Problem 4RE: Write the first four terms of the sequence defined by the explicit formula an=n!n(n+1). Problem 5RE: Is the sequence 47,4721,8221,397,... arithmetic? If so, find the common difference. Problem 6RE: Is the sequence 2,4,8,16,... arithmetic? If so, find the common difference. Problem 7RE: An arithmetic sequence has the first term a1=18 and common difference d=8 . What are the first five... Problem 8RE: An arithmetic sequence has terms a3=11.7 and a8=14.6 . What is the first term? Problem 9RE: Write a recursive formula for the arithmetic sequence 20,10,0,10,... Problem 10RE: Write a recursive formula for the arithmetic sequence 0,12,1,32,... , and then find the 31stterm. Problem 11RE: Write an explicit formula for the arithmetic sequence 78,2924,3724,158,... Problem 12RE: How many terms are in the finite arithmetic sequence 12,20,28,...,172 ? Problem 13RE: Find the common ratio for the geometric sequence 2.5,5,10,20,... Problem 14RE: Is the sequence 4,16,28,40,... geometric? If so find the common ratio. If not, explain why. Problem 15RE: A geometric sequence has terms a7=16,384 and a9=262,144 . What are the first five terms? Problem 16RE: A geometric sequence has the first term a1=3 and common ratio r=12 What is the 8thterm? Problem 17RE: What are the first five terms of the geometric sequence a1=3,an=4an1 Problem 18RE: Write a recursive formula for the geometric sequence 1,13,19,127,... Problem 19RE: Write an explicit formula for the geometric sequence 15,115,145,1135,... Problem 20RE: How many terms are in the finite geometric sequence 5,53,59,...,559,049 Problem 21RE: Use summation notation to write the sum of terms 12m+5 from m=0 to m=5 . Problem 22RE: Use summation notation to write the sum that results from adding the number 13 twenty times. Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the... Problem 24RE: A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung... Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series... Problem 26RE: The fees for the first three years of a hunting club membership are given in Table 1. If fees... Problem 27RE: Find the sum of the infinite geometric series k145(13)k=1. Problem 28RE: A ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series... Problem 29RE: Alejandro deposits $80 of his monthly earnings into an annuity that earns 6.25% annual interest,... Problem 30RE: The twins Sarah and Scott both opened retirement accounts on their 2lst birthday. Sarah deposits... Problem 31RE: How many ways are there to choose a number from the set 10,6,4,10,12,18,24,32 that is divisible by... Problem 32RE: In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How... Problem 33RE: How many ways are there to construct a 4-digit code if numbers can be repeated? Problem 34RE: A palette of water color paints has 3 shades of green, 3 shades of blue, 2 shades of red, 2 shades... Problem 35RE: Calculate P(18,4) . Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,... Problem 37RE: Calculate C(15,6) Problem 38RE: A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can... Problem 39RE: How many subsets does the set 1,3,5,...,99 have? Problem 40RE: A day spa charges a basic day rate that includes use of a sauna, pool, and showers. For an extra... Problem 41RE: How many distinct ways can the word DEADWOOD be arranged? Problem 42RE: How many distinct rearrangements of the letters of the word DEADWOOD are there if the arrangement... Problem 43RE: Evaluate the binomial coefficient (823) . Problem 44RE: Use the Binomial Theorem to expand (3x+12y)6 Problem 45RE: Use the Binomial Theorem to write the first three terms of (2a+b)17. Problem 46RE: Find the fourth term of (3a22b)11 without fully expanding the binomial. Problem 47RE: For the following exercises, assume two die are rolled. 47. Construct a table showing the sample... Problem 48RE: For the following exercises, assume two die are rolled. 48. What is the probability that a roll... Problem 49RE: For the following exercises, assume two die are rolled. 49. What is the probability of rolling a... Problem 50RE: For the following exercises, assume two die are rolled. 50. What is the probability that a roll... Problem 51RE: For the following exercises, assume two die are rolled. 51.What is the probability that a roll... Problem 52RE: For the following exercises, assume two die are rolled. 52. What is the probability of rolling a 5... Problem 53RE: For the following exercises, assume two die are rolled. 53. What is the probability that a roll... Problem 54RE: For the following exercises, use the following data: An elementary school survey found that 350 of... Problem 55RE: For the following exercises, use the following data: An elementary school survey found that 350 of... Problem 56RE: For the following exercises, use the following data: An elementary school survey found that 350 of... Problem 57RE: For the following exercises, use the following data: An elementary school survey found that 350 of... Problem 1PT: Write the first four terms of the sequence defined by the recursive formula a=14,an=2+an12 Problem 2PT: Write the first four terms of the sequence defined by the explicit formula an=n2n1n! . Problem 3PT: Is the sequence 0.3,1.2,2.1,3,... arithmetic? If sofind the common difference. Problem 4PT: An arithmetic sequence has the first term a1=4 and common difference d=43 .What is the 6thterm? Problem 5PT: Write a recursive formula for the arithmetic sequence 2,72,5,132,... and then find the 22nd term. Problem 6PT: Write an explicit formula for the arithmetic sequence 15.6,15,14.4,13.8,... and then find the 32... Problem 7PT: Is the sequence 2,1,12,14,... . geometric? If sofind the common ratio. If not, explain why. Problem 8PT: What is the 11thterm of the geometric sequence 1.5,3,6,12,... ? Problem 9PT: Write a recursive formula for the geometric sequence 1,12,14,18,.... Problem 10PT: Write an explicit formula for the geometric sequence 4,43,49,427,.... Problem 11PT: Use summation notation to write the sum of terms 3k256k from k=3 to k=15 . Problem 12PT: A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in... Problem 13PT: Use the formula for the sum of the first n terms of a geometric series to find k=170.2(5)k1 . Problem 14PT: Find the sum of the infinite geometric series. k=113(15)k1 Problem 15PT: Rachael deposits $3,600 into a retirement fund each year. The fund earns 7.5% annual interest,... Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18... Problem 17PT: A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3... Problem 18PT: To allocate annual bonuses, a manager must choose his top four employees and rank them first to... Problem 19PT: A rock group needs to choose 3 songs to play at the annual Battle of the Bands. How many ways can... Problem 20PT: A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many... Problem 21PT: How many distinct ways can the word EVANESCENCE be arranged if the anagram must end with the letter... Problem 22PT: Use the Binomial Theorem to expand (32x12y)5 . Problem 23PT: Find the seventh term of (x212)13 “without fully expanding the binomial. Problem 24PT: For the following exercises, use the spinner in Figure 1. Figure 1 24. Construct a probability model... Problem 25PT: For the following exercises, use the spinner in Figure 1. Figure 1 25. What is the probability of... Problem 26PT: For the following exercises, use the spinner in Figure 1. Figure 1 26. What is the probability of... Problem 27PT: For the following exercises, use the spinner in Figure 1. Figure 1 27. What is the probability of... Problem 28PT: For the following exercises, use the spinner in Figure 1. Figure 1 28. What is the probability of... Problem 29PT: For the following exercises, use the spinner in Figure 1. Figure 1 29. A bowl of candy holds 16... format_list_bulleted