What is the common difference, the general term equation, and the 12th term of the arithmetic sequence? E --5 +-6 +-7 +9 --10 +11 +12 +-13 -14 Hint: a = a + d(n-1), where a is the first term and d is the common difference. O d = 4, an = 5-4n, a12 = -43 O d = 4, an= 5n-4, a12 = 56 d=-5, an=4-5n, a12 = -56 11 O d= -3, an = 3-4n, a12 = -45 A student is offered two different summer jobs. Job A lasts 16 weeks and pays $350.00 per week. Job Blasts 4 months and pays $1,500.00 per month, with monthly raises of 10% of the previous month's salary. How much more does the student earn by accepting Job B (rounded to the nearest cent)? O $264.00 O $961.50 O $1,000.00 O $1,361.50 A newly drilled water well produces 95,000 quarts of water per week. With no new water feeding the well, the production drops by 4% per year. Using 52 weeks in a year, what is the total number of quarts of water that can be drawn from this water well before it goes dry? O 4.9 x 106 quarts O 1.2 x 10 quarts O2.4 x 10 quarts O 1.0 108 quarts Determine the sum of the following infinite geometric series: 56+7+++.... OOO O O 40 O 56 64 O 80 How many terms are in the arithmetic sequence 5, 1, -3,...,-99? Hint: a = a +d(n-1) where is the first term and d is the common difference O 27 O 28 29 O 30 Consider the arithmetic sequence presented in the table below. What is the first term, 4, and the 22nd term of the sequence? = 97 n O a = 4, 022 = 112 a4, a22109 Abr 6 Hint: an = a + d(n 1), where a is the first term and d is the common difference. Oa =5, a22 = 89 O a = 5, 25 42 169 Find the sum of the first 20 terms of an arithmetic series defined by: 3, 19, 35... 2,790 O 2,945 3,040 O 3,100 Find the sum of the arithmetic series where n = 50, a = 9, and 50 = 331. 16,050 9,600 8,500 8,050 For a given series, S =2, S = 14, and S3 = 36. What is the 3rd term in the sequence? 13 26 22 O 16 What are the next three terms of the geometric sequence 2, 10, 50, ...? 55, 60, 65 250, 1,000, 4,000 58, 66, 174 O 250, 1,250, 6,250 What is the common ratio of the geometric sequence? t n 25 -20 -15 -10 (1,27) (2,9) (3, 3) n Or=-18 O r = 9 O r = 1/ Or=3 How many terms are there in a geometric series if the first term is 7, the common ratio is 2, and the sum of the series is 105? 0 (1-) 1-r Hint: S = On=3 On=4 n=5 On=6 What is the first term of the geometric sequence presented in the table below? Oa = 27 O a =9 O n a = -9 * # 1, where is the first term and r is the common ration. an Hint: a = a(r) - , where is the first term and is the common ratio. O a =1 4 243 9 59,049