Problem 8: Consider the following convergent series. OO E 4 K=0 K 2 + 16 a) Use Theorem 10.13 that I've included below to find an upper bound for the remainder, Rn, in terms of n. (2 pts) b) Then find how many terms are needed to ensure that the remainder is less than 10-3. (2 pts) THEOREM 10.13 Estimating Series with Positive Terms Let " be a continuous, positive, decreasing function for x 2 1 and let , = fut) for & = 1, 2. 3. ... Let S = XX, a, be a convergent series and let S. " ), a, be the sum of the first n terms of the series, The remainder R, = S - S, satisfies R.