Question: Consider the repeating decimal number 0.55555 . . . . (a) Write it as the sum of the terms of an infinite geometric sequence. (b)

Consider the repeating decimal number 0.55555 . . . .

(a) Write it as the sum of the terms of an infinite geometric sequence.

(b) What is r for this sequence?

(c) Find this infinite sum if it exists, and write it as a fraction in lowest terms.

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