12- Write an expression for the 10th partial sum of the series 3+2 +g+m using summation (I point) notation. 13. Which of the following expressions correctly uses the properties of summations to represent (1 point) 11 2(312 +111)? :'=1 11 3212+1? '=1 11 3z[:2+1?) 1' =1 11 11 BZi-Zi+ll-l? 1' =1 1' =1 11 32194111? i=1 14. Classify the sequence {an} = [1, 24, 5, 28, _. .] as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, choose not enough information. arithmetic geometric neither not enough information 15. Write the rst ve terms of the geometric sequence in which a1 = 2? and the common ratio is 4 3 2118128,? 219,31,1 3 23", 36, 48, 64, E 3 219,11 E 3,9,2? 16. A rope is swinging in such a way that the length of the arc traced by a knot at its bottom end is decreasing geometrically. If the third are is 18 ft. long and the seventh arc is 8 ft. long, what is the length of the arc on the sixth swing? Round your answer to the nearest tenth of a foot. 14.7 ft. 12.0 ft. 10.5 ft. 9.8 ft. (1 point) (I point) (I point) 17' Calculate as for the geometric sequence in which .121 = 1, 600 and the common ratio is E . (I point) 4 506.25 379.6875 675 1,200 18. In a geometric sequence, {.12 = 108 and a5 = 256 . Write the explicit formula for this (I point) sequenc C . nl an = 103 [i] 3 19. Calculate the missing terms of the geometric sequence __ ., 2048, 7, 7, 7, 8, ._ . . Select all that (2 points) apply. 1,538, 1,028, 518 1,534, 1,020, 514 512, 128, 32 512,128,32 1,534,1,020,514 20. Explain how to tell if a geometric series is convergent or divergent. Include an example of a (4 points) convergent series and an example of a divergent series in your explanation. in =' 1' Evaluate Z 1 1[ g] . Round your answer to the nearest hundredth. '=1 2 (1 point) 13.75 9.17 |].|]1 1.83 22' Calculate the sum of the infmite series 98 + 84 +?2 + g +--- . (I point) 531 588 629 686