Write the first five terms of the sequence defined by the explicit formula a, = (-2)"-1. O A. -2,-4,-8,-16,-32 O B. -1,-2,-4,-8,-16 O C. 2,-4,8,-16,32 O D. 1,-2,4,-8,16Write the first five terms of the sequence defined by the recursive formula a, = 2 (a,_), with a, =1. O A. 1, 2, 4, 8, 16 O B. 1, 4, 16, 64, 256 O C. 1, 2, 4, 16, 256 O D. 1, 2, 8, 128, 32768Write the first five terms of the sequence whose nth term is a, = n (n+1)!. O A. 2, 12, 72, 480, 3600 O B. 2, 12, 72, 432, 2592 O C. 2, 6, 12, 20, 30 O D. 2, 6, 18, 54, 162.arithmetic, geometric, or neither? If it is arithmetic, identify the common difference, d. If it is geometric, identify the 52111 Is the sequence (a,) common ratio, r. O A d=- O B. d= - WIN O C. = UilA O D. r= AlWWrite a recursive formula for the arithmetic sequence {an} ={2.6, 4, 5.4, 6.8, 8.2,...} . O A. 01: 2.6; an = or] +1.2 0 B. [21:26; an=aH +1.4 0 C. 01:26; an=l.4n+1.2 O D. a1: 2.6; a,' =1.4n+2.6 The prevalence of cigarette smoking in the United States is in decline. If the percentage of smokers in 2014 was 16.7% and the percentage is decreasing by 5.6% each year, write the explicit formula for the sequence whose terms represent the percentage of Americans who smoke n years after 2014. O A. a, =-16.7x-5.6 O B. a, =16.7#-5.6 O C. a, =-5.6+16.7 O D. a, = 5.6 +16.7\fFind the first term of the arithmetic sequence in which a76 = 375 and the common difference is 4.8. O A. 10.2 O B. 15 O C. 150.6 O D. 300\f? WIN Which equation could be used to calculate the 36th partial sum for the arithmetic sequence { a,} O A. S = + (36-1) WIN alu O B. S6 alu NIW + (36-1)- (3 149 O C. S 36 NI W 2 + 6 36 5 72 O D. S 2 6 3Calculate $23 for the arithmetic sequence in which as = 24 and the common difference is d = 2.4. O A. 64.8 0 B. 414 O C. 883.2 0 D. 1,012.2 7 Which of the following expressions correctly uses the properties of summations to represent > (3i - 2)? ? i=1 O A. 7 7 :2-12Zi+[7.4] i=1 O B. 7 [12+[7.4] O C. 7 2 +4 1=1 O D. 9 IM - 12-12Ci+4 i=1Classify the sequence {a,) = (1,4,9, 16,...) as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, choose not enough information. O A. arithmetic O B. geometric O C. neither O D. not enough informationNI - Write the first five terms of the geometric sequence in which a = 8 and the common ratio is O A. 8,-4,2,-1, O B. 8.4,2,-1,- O C. 8, 15 13 7, 6 2 2 O D. 8,- 15 13 ,7, 6 2 2The bob of a pendulum travels a distance of 15 in. on the first swing after it is released. On each successive swing, the bob travels 85% of the previous distance. Write the explicit formula for the geometric sequence whose terms represent the distance traveled by the bob on each successive swing. O A. an = 0.85(15)*-1 O B. a = 15(0.85)"-1 O C. a, = 0.15(85)*-1 O D. a = 0.85(0.15)"-1Calculate as for the geometric sequence in which 61 = 8 and the common ratio is 1.5. O A. 40.5 0 B. 60.75 0 C. 4,096 O D. 20,736 A geometric sequence has terms :13 = 2% and a3 = 2.187. Write the explicit formula for the sequence. 0 A. 2 "'1 an = 288(3) Calculate the missing terms of the geometric sequence ..., 2,?, ?, ?,512,.... Select all that apply. O A. 129.5, 257, 384.5 O B. 12, 72, 288 O C. 8, 32, 128 O D. -129.5,257,-384.5 O E. -12,72,-288 O F. -8,32,-128Classify the series S, =5+2-1-4-... as arithmetic or geometric. Determine whether the series is convergent or divergent. O A. arithmetic, convergent O B. arithmetic, divergent O C. geometric, convergent O D. geometric, divergentWhich of the following sequences are convergent? Select all that apply. O A. S. = 10, 8, 6, 4,... O B. S. = 16, 8, 4, 2, ... O C. S = 12, - 6, 3, - 1.5, ... O D. S, = 2, 4, 6, 8, ... O E. S, = 2, 0, - 2, - 4, ...\fFind :24 in the geometric series in which 8" = 65 and the common ratio is r = E. 3 O A. 27 O B, 65