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1. Terms in a sequence Group 3 questions 2. Arithmetic Sequences Group 3 questions 2.2 Determine the term in a sequence Choose One 3 points
1. Terms in a sequence Group 3 questions 2. Arithmetic Sequences Group 3 questions 2.2 Determine the term in a sequence Choose One 3 points Given an infinite arithmetic sequence with the following characteristics: 16 19 24 31 2.3 Compute the term in the sequence a3=17 a3=3 a3=9 a3=19 3. Geometric Sequences Group 3 questions 3.1 Identify the common ratio Choose One 3 points Given the following sequence: 3.2 Determine the term in a sequence Choose One 3 points Given an infinite geometric sequence with the following characteristics: 20 40 50 250 3.3 Compute the term in the sequence Choose One 3 points g1=2 g1=3 g1=6 g1=12 4. Calculate the term in the sequence from a closed form Choose One 3 points 16 27 28 81 5. Recurrence Relations Group 3 questions 5.1 Calculate the term in the recurrence relation Choose One 3 points -64 -16 -4 32 5.2 Calculate the term in the recurrence relation Choose One 3 points 3 27 2187 14348907 5.3 Calculate the term in the recurrence relation Choose One 3 points 2 0 -3 4 6. Closed Form Group 2 questions In these questions, determine what formula can be used to determine any given value in a recurrence relationship (without having to calculate every previous value) 6.1 Determine which calculation gives the n-th term in a sequence Choose One 3 points an=2n+3 an=23n an=32n an=3n+2 6.2 Determine which calculation gives the n-th term in a sequence Choose One 3 points 7. Summation Group 6 questions 7.4 Compute the sum Choose One 4 points an=2n+3 an=3n+2 an=2(3)n an=3(2)n 36 92 117 145 175 7.5 Compute the double sum: Choose One 4 points This is a instruction you to do two different summations. One approach is to compute one of the sums first, (substituting for for either i or j), then compute the other sum substituting for the remaining variable. If you are familiar with code, the following is an implementation of this double sum, which suggests another approach to calculating a double summation 1 Dim sum,i,j 2 sum = 0 3 For i = 1 to 3 4 For j = 0 to 2 5 sum = sum + i + j 6 Next 7 Next 8 9 response.write(sum) VBSCRIPT 21 27 3 7.6 Which formula gives the result for the following sum? Choose One 4 points n2+n+1 n3n22 n2+n+12 n2+n2 8. Matrix Properties Group 7 questions 8.5 Find the entry in Matrix at the given position? Choose One 3 points 6 8 10 12 No such entry 8.6 If the following product is defined, select the size of the result. Otherwise, specify it is undefined. Choose One 3 points Let A be a 34 matrix, and the product below? C be a 44 matrix. CA 34 35 What size is the result of 45 Undefined 8.7 If the following product is defined, select the size of the result. Otherwise, specify it is undefined. Choose One 3 points Let A be a 34 matrix and B be a 45 matrix. What size is the result of the product below? AB 34 35 45 Undefined 9. Matrix Calculations Group 3 questions 9.1 Compute A+B Choose One 3 points 9.2 Compute AB Choose One 3 points 9.3 Compute AB Choose One 4 points
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