Determine whether the series converges or diverges. If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, write diverges.) IM8 n=1 (−1)n+1 n6

Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+

Find the sum of the infinite geometric series. k=113(15)k1

A ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series representing the total distance traveled by the ball, assuming it was initially dropped from a height of 5 feet. What is the total distance? (Hint: the total distance the ball travels on each bounce is the sum of the heights of the rise and the fall.)