Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given an infinite geometric series with first term a1 and common ratio r, if

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-Given an infinite geometric series with first term a1 and common ratio r, if |r| < 1, then the sum S is given by the formula | > 1, then the sum (does/does not) exist.

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