Sequences & Series Questions

Math

Sequences & Series

Give an explicit or recursive rule or explanation for the sequence you found. For example, the sum of the diagonals gives the Fibonacci sequence. Give an example of where in the triangle your sequence is located.

Math

Sequences & Series

Evaluate the following geometric series: 266() Select one: O a. 16.4198 O b. 18.0418 O c. 15.1834 O d. 17.6815 Which of the following sequences below is an Arithmetic Sequence? Select one: O a. 32, 16, 8, 4, ... O b. -2,4,-8, 16, ... O c. 4,-2,-8, -14,... Od 1,4, 16, 64,...

Math

Sequences & Series

Exercise 1. Consider the power series & In (GATE-2010) 11 (a) Both converge on (-1,1] (c) Exactly one of them converges on and E... Then (b) Both converge on [-1.1) (-1,1] (d) None of them converges on [-1.1)

Math

Sequences & Series

5 Does the following pattern represent a linear relationship, exponential relationship, quadratic relationship, or none of these? After 1 hour After 2 hours After 3 hours O Quadratic Exponential O None of these Linear

Math

Sequences & Series

The shaded boxes in the figures below represent a sequence. V Figure 1 Figure 2 Figure 3 If figure 1 represents the first term and this pattern continues, how many shaded blocks will be in figure 352 1) 55 2) 148 3) 420 4) 805

Math

Sequences & Series

Q6. (30 POINTS) One of the stores is a proud sponsor of the college soccer team. They constantly try to raise money for the team and they want to determine if there is any type of relationship between the amount of contribution and the years that the alumnus has been out of school. Years (X) Contribution (Y) 1 300 5 100 3. 110 10 10 6 70 6 80 2 175 8 25 4 150 NOTE: For the following questions you can use excel analysis or a calculator, it is your choice. The scatter plot might give you most of the necessary information. a. Using Excel construct a scatter plot. Discuss the output of the scatter plot. b. Give the correlation coefficient. c. Give the coefficient of determination. d. Give the equation of regression. e. (very important)

Math

Sequences & Series

Q6. (30 POINTS) One of the stores is a proud sponsor of the college soccer team. They constantly try to raise money for the team and they want to determine if there is any type of relationship between the amount of contribution and the years that the alumnus has been out of school. 10 8 Years (X) Contribution (Y) 1 300 5 100 3. 110 6 70 6 80 2 175 4 150 10 25 NOTE: For the following questions you can use excel analysis or a calculator, it is your choice. The scatter plot might give you most of the necessary information. a. Using Excel construct a scatter plot. Discuss the output of the scatter plot. b. Give the correlation coefficient. c. Give the coefficient of determination. d. Give the equation of regression.

Math

Sequences & Series

Q6. (30 POINTS) One of the stores is a proud sponsor of the college soccer team. They constantly try to raise money for the team and they want to determine if there is any type of relationship between the amount of contribution and the years that the alumnus has been out of school. Years (X) Contribution (Y) 1 300 5 100 3 110 10 10 6 70 6 80 2 175 8 25 4 150 NOTE: For the following questions you can use excel analysis or a calculator, it is your choice. The scatter plot might give you most of the necessary information. a. Using Excel construct a scatter plot. Discuss the output of the scatter plot. b. Give the correlation coefficient. c. Give the coefficient of determination. d. Give the equation of regression.

Math

Sequences & Series

Q6. (30 POINTS) One of the stores is a proud sponsor of the college soccer team. They constantly try to raise money for the team and they want to determine if there is any type of relationship between the amount of contribution and the years that the alumnus has been out of school. Years (X) Contribution (Y) 1 300 5 100 3 110 10 10 6 70 6 80 2 175 8 25 4 150 NOTE: For the following questions you can use excel analysis or a calculator, it is your choice. The scatter plot might give you most of the necessary information. a. Using Excel construct a scatter plot. Discuss the output of the scatter plot. b. Give the correlation coefficient. c. Give the coefficient of determination. d. Give the equation of regression. e. (very important) Based on the above values, in detail draw the conclusion: Discuss the correlation coefficient Discuss the coefficient of determination p2 Discuss in detail the meaning of the regression equation . . What would be the contribution of a student who graduated 9 years ago? After how many years after graduations will the alum stop contributing.

Math

Sequences & Series

LUB Final Exam (Algbera II) 0.5/1 pt 2 Details 3730 answered Score: 1.77730 < Question 2 Score on last try: 0.5 of 1 pts. See Details for more. > Next question You can retry this question below Solve 12 -7137 State your answer as a compound inequality As TB: 0<<14 State your answer in interval notation [A, B]: (0.14) X

Math

Sequences & Series

6. For tax purposes, new equipment is often depreciated by a fixed amount each year. This means its value decreases by the same dollar value every year. Suppose a new copying machine costs $1,600. Each year its value decreases by $125. Part A. Write an equation that will determine the value of the copier V, after it has been owned for y years. be the va the copier after eight years?

Math

Sequences & Series

1. The first row of seating in an outdoor amphitheater contains 26 seats, the second row contains 29 seats, the third row contains 32 seats, and so on. (a) Explain why the number of seats in each row can is an arithmetic sequence because the common difference is d = 3 (b) Determine the general term of the sequence, an. anz at (nold an = 26+ (n-1)3 (c) Suppose there are 20 rows. Write the partial sum using the sigma notation for the total number of seats. (d) What is the total seating capacity of the theater?