nit 6: Sequences and Series Sun X Dashboard X + /forms/d/e/1FAIpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 12. Determine the sum of the first 8 terms of the series below. Round to the 1 point nearest hundredth. 2 + 1.5 + 1.125 + ... A. - 16.00 B. 7.94 O C. 8.00 O D. 7.20 13. A finite geometric series has a sum of 21,842. If the common ratio is 4 1 point and the first term is 10, determine the last term in this series. A. 2845 O B. 16,384 O C. 43,674 18883Unit 6: Sequences and Series Sun X Dashboard X + n/forms/d/e/1FAlpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform D. 131,040 10. An arithmetic series has a sum of 250. The first term in the series is 5/6 1 point and the last term is 95/6. How many terms are in the series? A. 15 B. 17 C. 30 D. 42 11. Suppose you were asked to find the sum of the first 25 terms of the 1 point following series. Which of the following formulas would be most suitable for calculating the sum of this series, based on the information you have been given? Note: there may be more than one formula that could work, but choose the option that is best suited to the given information. 100 + 157 + 214+ ... amazonSequences and Series Sun X Dashboard X + rms/d/e/1FAIpQLSfT49CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 1 1. Suppose you were asked to Tinu the Sum Of the first 25 terms Of the T POI following series. Which of the following formulas would be most suitable for calculating the sum of this series, based on the information you have been given? Note: there may be more than one formula that could work, but choose the option that is best suited to the given information. 100 + 157 + 214 + ... n 2 Sn = =(t1 + tn) Sn = ~ [2t1 + (n - 1) d] O O B t1 (r - 1) rin - t1 Sn = Sn = r - 1 r - 1 18888Unit 6: Sequences and Series Sun X Dashboard X + m/forms/d/e/1FAlpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 8. Kyle gets a goldfish for his birthday. The goldfish grows at a rate of 3% 1 point each month. If the fish was originally 4 cm long, how long will it be after 9 months have passed? Round your answer to the nearest tenth. Be careful - remember that n is the number of terms, not the number of months that have passed. Don't forget to count the first term (i.e. the term where 0 months have passed, with the fish's original size) when figuring out what n is. A. 5.1 cm B. 5.2 cm C. 5.3 cm D. 5.4 cm 9. An arithmetic series has 156 terms. The first term is 30 and the last term 1 point is - 810. Determine the sum of all terms in this series. A. -121,680 B. -60,840 amazon 1:8885it 6: Sequences and Series Sun X |Dashboard X + forms/d/e/1FAIpOLSfT419CRhfSWALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 7. Determine the 8th term in the sequence below. 1 point 4096, 512, 64, 8, ... 512 A. O B. 8 amazon CN 18888Unit 6: Sequences and Series Sun X Dashboard X + m/forms/d/e/1FAlpQLSfT419CRhfSWALhTHiFU8HeGzMilyxTYSKGH6KHI7SP4BULBA/viewform D. Since r > 1 , the series is divergent and a finite sum CAN be determined 15. Determine the sum of the infinite geometric series below, if it can be 1 point found. Round your answer to the nearest hundredth. 4+1+ -+.. 4 A. - 13.00 B. 4.00 O C. 5.33 D. The sum is infinite because the series diverges. Upload photo(s) or scan(s) of your work for this assessment. 1 Add file Clear form SubmitUnit 6: Sequences and Series Sun X Dashboard X + gle.com/forms/d/e/1FAlpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 3. Determine the 18th term in the following sequence: 1 point 40 , 53 , 66 , 79 , ... A. 234 B. 247 O C. 261 D. 274 4. At Jason's new job, he earns a base salary of $36,000. Each year, he 1 point receives a $3000 raise. How many years will Jason need to work in order to be paid a salary of $66,000? A. 2 years B. 3 years O C. 10 yearsUnit 6: Sequences and Series Sun X Dashboard X + 1/forms/d/e/1FAlpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 13. A finite geometric series has a sum of 21,842. If the common ratio is 4 1 point and the first term is 10, determine the last term in this series. A. 2845 B. 16,384 C. 43,674 D. 65,496 14. Choose the correct justification for whether or not it is possible to 1 point determine a finite sum for the geometric series shown below. 25 125 625 O A. Since -1 1 , the series is divergent and a finite sum CANNOT be determined O D. Since r > 1 , the series is divergent and a finite sum CAN be determined amazon CNUnit 6: Sequences and Series Sun X Dashboard X + m/forms/d/e/1FAlpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP4BULBA/viewform again here for your convenience). 1. Classify the following sequence: - 10 , 5 , - 2.5 , ... A. This is an arithmetic sequence B. This is a geometric sequence C. This is neither an arithmetic sequence nor a geometric sequence D. This is both an arithmetic sequence and a geometric sequence 2. Which of the following options can represent the nth term (tn) of the sequence below: 4, 10 , 16, 22, 28, ...nit 6: Sequences and Series Sun X Dashboard X + /forms/d/e/1FAIpQLSfT419CRhfSWALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 6. Consider the sequence below. Then, choose the option which correctly 1 point identifies the expression for the nth term (tn). 5, 25, 125, 625, ... n-1 n tn = 5 In = 5 O A. O In = 5(5) "-1 In = 5(5)" amazon 188886: Sequences and Series Sun X Dashboard X + orms/d/e/1FAIpQLSfT419CRhfSwALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform sequence below: 4, 10 , 16, 22, 28, . Note: when you first write the equation for tn using the formula, it will look different than the options below. See if you can simplify your equation a bit. tn = n +6 In = 6n + 10 A . O B. In = 6n + 4 tn = 6n - 2 HOLD-B amazon 18888 CNUnit 6: Sequences and Series Sun X Dashboard X + m/forms/d/e/1FAlpQLSfT419CRhfSWALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 4. At Jason's new job, he earns a base salary of $36,000. Each year, he 1 point receives a $3000 raise. How many years will Jason need to work in order to be paid a salary of $66,000? A. 2 years B. 3 years C. 10 years D. 11 years 5. An apprentice welder makes $30,000 in her first year. After four years of 1 point schooling and experience, she can make $67,000. Her pay grid therefore looks something like this: 0 years of schooling and experience: $30,000 1 year of schooling and experience: $ 2 years of schooling and experience: $ 3 years of schooling and experience: $ 4 years of schooling and experience: $ 67,000Unit 6: Sequences and Series Sun X Dashboard X + m/forms/d/e/1FAlpQLSfT419CRhfSWALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 14. Choose the correct justification for whether or not it is possible to 1 point determine a finite sum for the geometric series shown below. + 25 125 625 O A. Since -1 1 , the series is divergent and a finite sum CANNOT be determined D. Since r > 1 , the series is divergent and a finite sum CAN be determined 15. Determine the sum of the infinite geometric series below, if it can be 1 point found. Round your answer to the nearest hundredth. 4+1+-+.. 4 A. - 13.00 B. 4.00Unit 6: Sequences and Series Sun X Dashboard X + com/forms/d/e/1FAIpQLSfT419CRhfSWALTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 9. An arithmetic series has 156 terms. The first term is 30 and the last term 1 point is - 810. Determine the sum of all terms in this series. A. -121,680 B. -60,840 C. 65,520 D. 131,040 10. An arithmetic series has a sum of 250. The first term in the series is 5/6 1 point and the last term is 95/6. How many terms are in the series? A. 15 B. 17 C. 30 O D. 42nit 6: Sequences and Series Sun X Dashboard X + /forms/d/e/1FAlpQLSfT419CRhfSWALhTHiFU8HeGzMilyxTYSKGH6KHI7SP43uLBA/viewform 5. An apprentice welder makes $30,000 in her first year. After four years of 1 point schooling and experience, she can make $67,000.- Her pay grid therefore looks something like this: 0 years of schooling and experience: $30,000 1 year of schooling and experience: $ 2 years of schooling and experience: $ 3 years of schooling and experience: $ 4 years of schooling and experience: $ 67,000 Assuming that the salary increases by the same amount for every year of schooling and experience, what is the amount by which her pay increases each year? A. $ 9250 O B. $ 12,333 C. $ 24,250 D. $ 32,333 amazon CH