What is the common difference, the general term equation, and the 12th term of the arithmetic sequence? Hint: on = a + d(n - 1), where a is the first term and @ is the common difference. .n1 -- 1 do 10 11 12 -13 14 O d=-7, an =6 - 70, 012 =-78 O d= -6, an =5 - 60, 012 - -67 O d = 6, an = 6 - 7, @12 = 65 d=6, an = 67 - 7, 012 =-65What is the general term equation, an, for the arithmetic sequence 13, 9, 5, 1,. . ., and what is the 21st term of this sequence? Hint: an =a + ( -1), where a, is the first term and d is the common difference. an = 17 + 4n, an = 10 O an = 17 - 4n, am - -67 an =9 - 4n, 431 = - 75 O an = 13 - 40, an = - 71 How many multiples of 3 are there between 100 and 1,000? Hint: an =a + d(n -1), where a, is the first term and d is the common difference. O 301 O 300 O 299 O 266What is the sum of the series 7+ 22 + 37 + -.. + 292? 2828 O 2756 2990 O 3050 The sum of the first n terms of a sequence is S, = n(n + 1)(n + 2). What is the 4th term of the sequence? O 396 O 48 O 120 O 60 If an = 3(3)"-1, what is s, ? O 27 O 39 O 12 0 9A stock market analyst observes the following for the price of two stocks that he owns, one of which is increasing at an exponential rate (geometric) and the other is increasing in a linear fashion (arithmetic). Stock A: Equation: a, = 14n + 110, where a, is the value of the stock and n is the number of years. Year Price $124.00 $138.00 3 $152.00 4 $166.00 5 $180.00 Stock B: Equation: a, = 25(1.10)"-1, where a, is the value of the stock and n is the number of years. Year Price 1 525.00 527.50 3 $30.25 A 533.28 5 $36.60 Assuming these stock values continue to increase in the same manner until retirement, which stock option is worth more in 50 years and how much is this stock worth per share? O Stock A, $810.00 O Stock A, $1668.67 O Stock B, $1,857.97 O Stock B, $565.00What is The common ratio and the general term equation: I of he geometric sequence? 45 . (3.. -18] -2O . (2' 4.4) -3'O I (1. -32) How many terms are in the following sequence? 645700815, ..., 45, 15, 5 O 18 O 19 O 17 O 16 What is the first term in a geometric sequence if the common ratio is -3 and the sum of the first six terms is 1,274? Hint: S, = " (1-2) Char #1, where a, is the first term and , is the common ratio. O a =7 O al - -3 0 4 =-7 What is the sum of the first five terms of the geometric series 1 - 3 + 9 - . . . ? Hint: 5, = (1-7) Try1, where a is the first term and r is the common ratio. S = - 20 $ = 75 O S = 61 O S = -182A mother is convinced by her son that he should have a weekly allowance that is doubled every 2 weeks. In weeks 1 and 2 he receives 10 per week; in weeks 3 and 4 he receives 20 per week. If his allowance continues to double every 2 weeks, what is the amount of his allowance in week 30 (rounded to the nearest cent) and what is the total amount he receives in allowance for the 30 weeks (rounded to the nearest cent)? The son receives $157.24 in week 30 and he accumulates $555.24 in total for the 30 weeks. O The son receives $163.84 in week 30 and he accumulates $655.34 in total for the 30 weeks. O The son receives $60.00 in week 30 and he accumulates $1,800.00 in total for the 30 weeks. O The son receives $32,768.00 in week 30 and he accumulates $65,534.00 in total for the 30 weeks. Determine the sum of the infinite geometric series: } - 1+3 -. . . O 4} O the sum cannot be determined O - O The sum of an infinite geometric series is 54. If the first term is 18, what is the value of the common ratio ? O 1 O 3During the first month of operation, an oil well produced 12,000 barrels of oil. The production dropped by 4% each month. Calculate the total number of barrels of oil that can be produced before the well runs dry. O 350,000 O 300,000 O 425,000 O 12,500