please answer numbers 6, 8, 14, 17, 19 and 20

5 Student Home X VA 11.4 Hmwk- Series & Their Notat X *Homework Help - Q&LA from Onl x + V X webassign.net/web/Student/Assignment-Responses/last?dep=27051597#Q6 Q E ... Summation Notation Learn by Example 6. [0/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 11.4.216. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the arithmetic sum using summation notation. 12 + 21 + 30 + . .. + 183 X Consider a series ax expressed in summation notation, _ ak. Recall the explicit formula for an arithmetic sequence, an = a, + (n-1)d. What are the values of a, and the common difference between K = 1 each consecutive term d? How many terms are being added together? Additional Materials BeBook Arithmetic Series Summation Notation Learn by Example Submit Answer 7. [1/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 11.4.219. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the formula for the sum of the first n terms of the arithmetic sequence to find the sum. 16 + 23 + 30 + . .. + 79 4:30 PM Type here to search O 56'F Cloudy ~ DEA() 12/10/20215 Student Home X VA 11.4 Hmwk- Series & Their Notat X *Homework Help - Q&A from Onl x + V X > C webassign.net/web/Student/Assignment-Responses/last?dep=27051597#Q6 Q E ... Arithmetic Series Learn by Example Example Video 8. [-/1 Points] DETAILS OSPRECALC1 11.4.222. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the geometric sum using summation notation. 40 + 20 + 10 + . .. + 0.625 Additional Materials eBook Geometric Series Summation Notation Learn by Example 9. [1/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 11.4.225. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the formula for the sum of the first n terms of the geometric sequence, and then state the indicated sum. 6 . 27-1 n = 1 59 = 3066 4:30 PM Type here to search O 56'F Cloudy ~ DEA() 12/10/20215 Student Home X VA 11.4 Hmwk- Series & Their Notat X *Homework Help - Q&A from Onl x + V X -> C webassign.net/web/Student/Assignment-Responses/last?dep=27051597#Q6 Q E X FA . .. 14. [0.25/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 11.4.234. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the geometric series E () and its graph shown below. 1 0.8 0.61 0.4 0.2 2 3 4 5 6 7 What number does S, seem to be approaching in the graph? Find the sum to explain why this makes sense. The graph of S, seems to be approaching X . This makes sense because [ () is a defined infinite vv geometric series with S = 21 1 - 1 - The sum of the first n terms of a sequence a, define a new sequence S,, where each term is the ath partial sum of terms of a,. Recall that the infinite series is the sum of the terms of an infinite sequence. For larger and larger values of n, what value would the terms of the sequence defined by the partial sums approach? What is the value of r in the given geometric series? How does the infinite sum confirm the expected value to which the sequence of partial sums seems to be approaching? Additional Materials Type here to search O 4:30 PM 56'F Cloudy ^ DEA() 12/10/20215 Student Home X VA 11.4 Hmwk- Series & Their Notat X *Homework Help - Q&A from Onl x + V X > C webassign.net/web/Student/Assignment-Responses/last?dep=27051597#Q6 Q E ... Additional Materials eBook Arithmetic Series 17. [0/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 11.4.244. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the formula for the sum of the first n terms of a geometric series to find the partial sum. $7 for the series 0.8 - 4 + 20 - 100. .. 57 = X Recall the formula for the sum of the first n terms of a geometric series, S, = Jill -2. In the given sequence, what are the values of n, a1, and ? What does the alternating addition and subtraction 1 - r suggest about the common ratio, r? Additional Materials eBook Geometric Series Example Video Submit Answer 18. [1/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 11.4.248. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the sum of the infinite geometric series. - 1 -. 2 4 8 4:30 PM Type here to search O 56'F Cloudy ~ DE() 12/10/20215 Student Home X VA 11.4 Hmwk- Series & Their Notat X *Homework Help - Q&A from Onl x + V X -> C A webassign.net/web/Student/Assignment-Responses/last?dep=27051597#Q6 Q @ . .. 19. [-/1 Points] DETAILS OSPRECALC1 11.4.264. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A boulder rolled down a mountain, traveling 4 feet in the first second. Each successive second, its distance increased by 5 feet. How far did the boulder travel after 10 seconds? ft Additional Materials eBook Arithmetic Series Learn by Example Example Video 20. [-/1 Points] DETAILS OSPRECALC1 11.4.266. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A pendulum travels a distance of 3 feet on its first swing. On each successive swing, it travels the distance of the previous swing. What is the total distance traveled by the pendulum when it stops swinging? ft Additional Materials BeBook Example Video 4:30 PM Type here to search O 56'F Cloudy ~ D CE(1) 12/10/2021