71-] Write the first five terms of the sequence defined by the explicit formula an =112G] . (1 point) C) 112, 28, 711 4 16 l 7 O 112,28,7,, 4 16 7 7 7 28,7, , , O 4 16 64 7 7 7 28,7,,, O 4 16 64 Write the first five terms of the sequence defined by the recursive formula an = 2-(a,,_1) +5 , with 01 = -3. (1 point) 0 3,10,24, 43,81 Q 3,1,3, 11, 27 O 3, 2, 7,12, 17 O 3, 4,18,46,102 (n+1)! n+1 - Write the first five terms of the sequence in which the nth term is an = (1 point) O1,2,6,24,120 01,2,3,4,5 O1,1,3,12,60 O1,1,1,1,1 Is the sequence {0"} ={0.4, 1.6.6.4, 25.6,...} arithmetic, geometric, or neither? If arithmetic, identify the common difference, d. If the sequence is geometric, identify the common ratio, r. (1 point) 0 arithmetic; d = 1.2 O arithmetic; d = 4 O geometric: r= 1.2 O geometric; r = 4 O neither Write a recursive formula for the arithmetic sequence {an} (1 point) 3 O "1:2;an=an1+ 5 O a1=2;a,,=an_1+ 5 3 O a =2;a=an+ 1 2 2 423 5 Find the first term of the arithmetic sequence in which 0:28 = T and the common difference is Z . (1 point) 311 O _ 4 O 72 209 O _ 2 0107 The 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) 1 2 3 4 5 (1 point) Number of 29507192113 Bacteria O an=21n+29 O an=21n+8 O an=8n+29 C) an =8n+21 Calculate 5'35 for the arithmetic sequence in which as =19 and the common difference is d = 1.3. (1 point) 0 42.8 0 20 O 73.5 0 124.3 9 6 3 Write an expression for the eighth partial sum of the series 5 +++m using summation notation. (1 point) 18 Which of the following expressions correctly uses the properties of summations to represent _ (712 +9) ? (1 point) 18 0 71 +9 i=1 18 0 72(12 +9 ) i=1 18 0 71 +18.9 i=1 18 18 0 7Ci Ci+18.9 i=1 i=1Classify the sequence {an} ={1,16, 31. 46,...} as arithmetic, geometric. or neither. If there is not enough information to classify the sequence, choose not enough information. (1 point) C) arithmetic O geometric O neither O not enough information 5 Write the first five terms of the geometric sequence in which 0:1 = 64 and the common ratio is Z . (1 point) O 64, 80, 100,125,? 81 243 O 64,36,27,, 4 16 1 O 64,16,4,1, 4 O 64,16513 E '4'16'64 A rope is swinging in such a way that the length of the are traced by a knot at its bottom end is decreasing geometrically. If the third are is 22 ft. long and the seventh arc is 10 ft. long, what is the length of the are on the sixth swing? Round your answer to the nearest tenth of a foot. (1 point) 0 12.211. 0 13.011. 0 14.8ft. O 18.1 ft. 3 Calculate as for the geometric sequence in which a1 = 1, 600 and the common ratio is Z. (1 point) 0 506.25 0 379.6875 0 675 0 1,200 In a geometric sequence, a; = -144 and 05 = 486 . Write the explicit formula for this sequence. (1 point) Calculate the missing terms of the geometric sequence .. ., 3072, ?. 7, 7, 12, .... Select all that apply. (1 point) C] 768,192,48 C] 768, 192, 48 C] 2,303,1,534,773 C] 2,303, 1,534, 773 C] 2,307,1,542,777 C] 2,307, 1,542, 777 Explain 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. (4 points) B I ...Evaluate I'Ma . Round your answer to the nearest hundredth. (1 point) O -0.01 5.25 O -1.75 O 10.50