2-1 Write the first five terms of the sequence defined by the explicit formula a, = 150 Uil O A. 150, -30, 6, - 6 25 O B. 150, 30, 6, 6 Ula 25 O C. 30,-6, 6 6 6 25 125 O D. 30,6, 6 6 6 5' 25' 125Write the first five terms of the sequence defined by the recursive formula a,, = 2 (a,-1) +4, with a] =-1. O A. -1, 3, 7, 11, 15 O B. -1,-2,-6,-22, -86 O C. -1, 2, 8, 20, 44 O D. -1,6,20, 48, 104Write the first five terms of the sequence in which the nth term is a, = ( n+ 3 ) ! n+3 O A. 1, 1, 1, 1, 1 O B. 3, 6, 9, 12, 15 O C. 3, 12, 60, 360, 2520 O D. 6, 24, 120, 720, 5040Is the sequence {a}={0.4,1_6,6_4. 236...] arithmetic. geometric. or neither? If arithmetic. identify the common difference. at. If the sequence is geometric. identify the common ratio. r. O A. arithmetic; d = 1.2 O B. arithmetic; d = 4 O C. geometric: r= 1.2 O D. geometric: r= 4 O E. neither 11 13 17 Write a recursive formula for the arithmetic sequence {a,} = 3, 3' 3 5, ... O A. a = 3, an = + WIN O B. a = 3, an = WIN + W/y O C. a = 3, an = an-it WIN O D. a = 3, an = ant\f389 Find the first term of the arithmetic sequence in which a32 = and the common difference is 4 O A. 187 2 O B. 98 O C. 313 4 O D. 74Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Find the missing terms of the arithmetic sequence .... 27, ?, ?, 7, 53. .... Show each step of the process clearly. Math symbols Relations Geometry * Groups Trigonometry StatisticsThe table shows the predicted growth of bacteria after various numbers of hours. Write an explicit formula for the number of bacteria after n hours. Hours 1 2 3 4 5 (n) Number of 25 44 63 82 101 Bacteria O A. a, = 6n+19 O B. a. = 19# + 25 O C. a, = 6 + 25 O D. a = 19#+65 Calculate S for the arithmetic sequence {a, ) = n+ O A. 146 3 O 91 2 O C. 8,671 6 O D. 9,267 6Calculate 835 for the arithmetic sequence in which as =19 and the common difference is d - 1.3 . O A. -42.3 0 B. 20 O C. \"(3.5 O D. 124.3 12 Evaluate (212 - 7 ) . i=1 O A. 281 O B. 566 O C. 1.216 O D. 1,293\f14 Which of the following expressions correctly uses the properties of summations to represent (512 + 13) ? i=1 O A. 14 5 i- +13 1=1 O B. 14 51 +14.13 i=1 O C. 14 5(12 + 13 ) i=1 O D. 14 14 Ei Ci+14.13 i=1 1=1Classify the sequence {a,,) = (1,16, 31, 46,...) 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 informationNIU 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, 1 5 25 2'4' 8 O C. 8. 12, 27, 81 243 2' 4 O D. 8. 20, 50, 125, 625 2Arope is swinging in such a way that the length of the arc traced by a knot at its bottom end is decreasing geometrically. It the third arc is 13 it. long and the seventh are is 8 ft long. what is the length of the are on the sixth swing? Round your answer to the nearest tenth of a foot. 0 A. 14.? . 0 B. 12.0 . 0 C. 10.5 . 0 D. 9.3 it. Calculate as for the geometric sequence in which or] = 1,500 and the common ratio is E O A. 900 O B. 194.4 0 C. 116.64 0 D. 69.984 In a geometric sequence, a; = -320 and a, = 625. Write the explicit formula for this sequence. 0 A 5 nl an = -320 [_] 4 Calculate the missing terms of the geometric sequence .. .. 3072. ?. ?. '3. 12. . Select all that apply. I: A. -768,192,48 C B. 768, 192, 48 C C. -2,303,1.534,-773 l: D. 2,303, 1.534, 773 l: E. -2,307.1,542,777 C F. 2,307,1.542,777 Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Use the infinite geometric sum formula to write 0.757575... as a fraction in reduced form. Show all steps neatly. Math symbols Relations Geometry Groups Trigonometry StatisticsExplain how to tell if a geometric series is convergent or divergent. Include an example of a convergent series and an example of a divergent series in your explanation. \f128 Calculate the sum of the infinite series 50+40+ 32+ + ... 5 O A. 146 O B. 200 O C. 250 O D. 357