Chapter 7: Q. 32 (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. 32 (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 freeExpress each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Find the values of x for which the seriesconverges.
Use either the divergence test or the integral test to determine whether the series in Exercises 32–43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
35.
For a convergent series satisfying the conditions of the integral test, why is every remainder positive? How can be used along with the term from the sequence of partial sums to understand the quality of the approximation ?
Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
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