3. [-/2 Points] DETAILS OSPRECALC1 11.4.212. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the description of a sum using summation notation. The sum from n = 0 to n = 8 of 9n n = Additional Materials eBook Summation Notation 4. [-/2 Points] DETAILS OSPRECALC1 11.4.215. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the arithmetic sum using summation notation. 7 + 14 + 21 + 28 + 35 + 42 + 49 + 56 + 63 + 70 Additional Materials eBook Arithmetic Series Summation Notation5. [-/1 Points] DETAILS 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. 18 + 25 + 32 + . .. + 81 $10 = Additional Materials eBook Arithmetic Series Learn by Example Example Video 6. [-/1 Points] DETAILS OSPRECALC1 11.4.218. 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. 2+5+ 12 +6+ 13 S5 = Additional Materials LeBook Arithmetic Series Example Video9. [-/2 Points] DETAILS OSPRECALC1 11.4.221. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the geometric sum using summation notation. 1+ 2+ 4+ 8 + 16 + 32 + 64 + 128 Additional Materials eBook Geometric Series Summation Notation 10. [-/1 Points] DETAILS OSPRECALC1 11.4.224. 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. (Round your answer to two decimal places.) 36+ 6 + 1+_. 36 S5 = Additional Materials eBook Geometric Series Example Video11. [-/1 Points] DETAILS 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. S, for the series 0.8 - 4 + 20 - 100. .. S7 = Additional Materials LeBook Geometric Series Example Video 12. [-/1 Points] DETAILS 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 . 20-1 n = 1 Sg Additional Materials eBook Geometric Series Example Video14. [-/3 Points] DETAILS OSPRECALC1 11.4.227. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the infinite series has a sum. 14 + 21 + 28 + 35 + . . . O Yes, it has a sum. O No, it does not have a sum. Find the sum, if one exists. (If an answer does not exist, enter DNE.) S = If the sum does not exist, state the reason. The series is not geometric. The series is geometric, but the common ratio is less than or equal to -1. The series is geometric, but the common ratio is equal to 0. The series is geometric, but the common ratio is greater than or equal to 1. O The sum exists. Additional Materials eBook15. [-/3 Points] DETAILS OSPRECALC1 11.4.228. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the infinite series has a sum. 2 + 1.8 + 1.62 + 1.458 + . .. O Yes, it has a sum. O No, it does not have a sum. Find the sum, if one exists. (If an answer does not exist, enter DNE.) S = If the sum does not exist, state the reason. O The series is not geometric. The series is geometric, but the common ratio is less than or equal to -1. O The series is geometric, but the common ratio is equal to 0. The series is geometric, but the common ratio is greater than or equal to 1. The sum exists. Additional Materials eBook16. [-13 Points] OSPRECALC1 11.4229. ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the Innite series has a sum. m z m=l 0 Yes, it has sum. 0 No, it does not have a sum. Find the sum, If one exists. [If an answer does not exist, enter DNE.) If the sum does not exist, state the reason. 0 The series is not geometric. O The series is geometric, but the common ratio is less than or equal to 1. O The series is geometric, but the common ratio is equal to CI. 0 The series is geometric, but the common ratio is greater than or equal to 1. O The sum exists. Addlllenll Materials eElook Learn by Example 17. [-/4 Points] DETAILS OSPRECALC1 11.4.234. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the geometric series E() and its graph shown below. 4 0.8 0.6 0.4 0.2 X 1 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 This makes sense because Eis --Select. geometric series with S = . a1 1 - r 1 N / N Additional Materials eBook18. [-/1 Points] DETAILS OSPRECALC1 11.4.248. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the sum of the infinite geometric series. -1 - _ 1 _1 1 2 4 8 S = Additional Materials eBook Learn by Example 19. [-/1 Points] DETAILS OSPRECALC1 11.4.250. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the sum of the infinite geometric series. [ 4.6 . 0.50-1 n = 1 S = Additional Materials eBook20. [-/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 eBook Example Video 21. [-/1 Points] DETAILS OSPRECALC1 11.4.264. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A boulder rolled down a mountain, traveling 3 feet in the first second. Each successive second, its distance increased by 8 feet. How far did the boulder travel after 10 seconds? ft Additional Materials eBook Arithmetic Series Learn by Example Example Video22. [-/1 Points] DETAILS OSPRECALC1 11.4.235-238A.WA. TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the sum: ( 5k - 8). K = 0 23. [-/1 Points] DETAILS OSPRECALC1 11.4.238. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indicated sum. 7k S7 = Additional Materials eBook Summation Notation Learn by Example Example Video24. [-/1 Points] DETAILS OSPRECALC1 11.4.235-238B.WA. TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the sum: ( K 2 - 9). K = 4 25. [-/7 Points] DETAILS OSPRECALC1 11.4.902.WA. TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the sequence: a1= 14 and an + 1 = a, + 4 for n 2 1. (a) Write out the first five terms of this sequence. 21 23 ac = (b) Is this sequence arithmetic, geometric, or neither? O arithmetic O geometric O neither (c) Find an explicit formula for an. an