Chapter 8: Infinite Sequences and Series
Section 8.2: Series
Write the repeating decimal 7.435&conjugate0; as the ratio of two integers.
To implement the simple approach expounded in Example 8.2.9, call the given number M so that 10 M=74.35&conjugate0;. Then S=0.35&conjugate0; and 100 S=35.35&conjugate0; and S=35/99. Hence, 10 M=74+35/99, and
To obtain this same result by summing a geometric series, write the given repeating decimal as
Enter the series representation of the given number.
Context Panel: Evaluate and Display Inline
7410+35103∑n=0∞1102n = 7361990
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