1. DETAILS 8 Suppose the series an converges to a number S. Let R =S-Sn n=1 Determine the truth of the following statement and give a reason why your answer is correct: Rols lan+1l. True. Rn an+1 for any series. O False. Rn= ak, so this bound is never valid. k=n+1 False. This bound is only guaranteed to work if the series is alternating. True. Since the series converges we know lim an=0 so the largest contribution is given by an+1. n18