A mother is convinced by her son that he should have a weekly.r allowance that is doubled every 2 weeks. In weeks 1 and 2 he receives W per week; in weeks 3 and 4 he receives 2;; 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 forthe 30 weeks (rounded to the nearest cent]? (31 The son receives $50.00 in week 30 and he accumulates $1800.00 in total for the 30 weeks. L3 The son receives 3532.76300 in week 30 and he accumulates $55.534.00 in total for the 30 weeks. (31 The son receives $163.34 in week 30 and he accumulates $655.34 in total for the 30 weeks. 0 The son receives $157.24 in week 30 and he accumulates $555.24 in total for the 30 weeks. Determine the sum ofthe innite geometric series: g 1+3 . . . O 4; O %. 3 O 2 O the sum cannot be determined The sum or an innite geometric series is 54. Ifthe rst term is 18, what is the value orthe common ratio r? (3' mi- 0 v\" (3' an:- (313 During the rst 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 mns dry. 0 350,000 O 425,000 0 12,500 C) 300,000 \fA stock market analyst observes the following Torthe price of two stocks that he owns, one of which is increasing at an exponential rate (geometric) and the other is increasing in a IinearTashion (arithmetic). Stock A: Equation: an = 1m + 110, where a\" is the value of the stock and n is the number of years. Year Price 1 $124.00 2 $138.00 3 $152.00 4 $166.00 5 $180.00 Stock El: Equation: ,1 = 25(1.10)\"'1, where an is the value of the stock and n is the number of years. Year Price 1 $25.00 2 $27.50 3 $30.25 4 $33.28 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? \f1I'It'hot is the common ratio and the general term equation, on, of the geometric sequence? What i5 the general term equation, an, for the arithmetic sequence '13: 91 5: 11. . .: and what i5 the 215t term of \"\"5 sequence? Hint: an = a] + tiff: 1:]. where (11 i5 the rst term and [1 E- the common difference. {3' a.=13 -41l31= 'i"1 {Elan=9-1n,m1 ?5 {3' an=1?+4mm:1=10 (3' an =1?4n,an = B? How many multiples of 3 are there between 100 and 1,000? Hint: aN = 51+ dfn 1), where 0.1 is the rst term and d is the common difference. C) 299 D 301 O 266 (3| 300 What is the sum Dime 50063 7 + 22 +3? + ~ .. + 292? (3| 3050 (3| 2990 O 2828 (3| 2T55