Chapter 7: Q. 34 (page 592)
In Exercises 31–36 provide the first five terms of the given sequence. Unless specified, assume that the first term has index 1.
Short Answer
The first five terms are.
Chapter 7: Q. 34 (page 592)
In Exercises 31–36 provide the first five terms of the given sequence. Unless specified, assume that the first term has index 1.
The first five terms are.
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Get started for freeLetand be two convergent geometric series. If b and v are both nonzero, prove that is a geometric series. What condition(s) must be met for this series to converge?
Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
Determine whether the series converges or diverges. Give the sum of the convergent series.
In Exercises 48–51 find all values of p so that the series converges.
For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder, .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that localid="1649224052075" .
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