Plz do show all steps

16. A ball is thrown 10 feet straight up into the air, and on each bounce, it rebounds to 60% of its previous height. (a) How far does the ball travel (up and down) during its nth bounce. (b) Use a sum to represent the total distance traveled by the ball. (c) Find the total distance traveled by the ball. 17. Show that the function determined by the terms of the given series satises the hypotheses of the Integral Test, and then use the Integral Test to determine whether the series converges or diverges. 00 Z k2 - 92""3 k=1 18. Use the Limit Comparison Test (or the Nth Term Test) to determine whether the given series converges or diverges. (arct:n( k))2 Ms 3' II 1