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| Use the sum of the first 10 terms to approximate the sum of the series Use Exercise 42 to estimate the error. Let Σa be a series with positive terms and let r = a /a . Suppose that lim r = L < 1, so Σa converges by the Ratio Test. As usual, we let Rn be the remainder after n terms, that is, R = a + a + a + ∙ ∙ ∙ (a) If {r } is a decreasing sequence and r < 1, show, by summing a geometric series, that (b) If {r } is an increasing sequence, show that |
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