Question: Consider the periodic number 8.23232323.. (a) Write it as a series of fractions with powers of 100 in the denominator. (b) Write the series using sigma notation. (c) Find an exact formula for the N-th partial sum. (d) Use the exact formula to find the representation of 8.23232323... as a fraction.
Question: Consider the periodic number 8.23232323.. (a) Write it as a series of fractions with powers of 100 in the denominator. (b) Write the series using sigma notation. (c) Find an exact formula for the N-th partial sum. (d) Use the exact formula to find the representation of 8.23232323... as a fraction.
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 54SE: Write 0.65 as an infinite geometric series using summation notation. Then use the formula for...
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Transcribed Image Text:Question: Consider the periodic number 8.23232323...
(a) Write it as a series of fractions with powers of 100 in the denominator.
(b) Write the series using sigma notation.
(c) Find an exact formula for the N-th partial sum.
(d) Use the exact formula to find the representation of 8.23232323... as a fraction.
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