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53

Step-by-step Answer
PAGE: 818SET: ExercisesPROBLEM: 53
Please look in your text book for this problem Statement

If , then the infinite geometric series converges,

its sum is .

The infinite geometric series is

The first term of the series, .

The second term of the series, .

The common ratio ,

.

Since , the series is converges.

The sum is .

Substitute the values of and in above formula.

Sum

The infinite geometric series is converges and its sum is .



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