3 years ago

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81

Mathematics

2 answers:

Norma-Jean [14]3 years ago

8 0

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

Lynna [10]3 years ago

3 0

Answer:

Converge

Step-by-step explanation:

The value of r in this infinite series is 2/3.

If the absolute value of r is less than 1, then the infinite series converges.

Since 2/3 is less than 1, the series must converge.

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