Question

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

Answer 1

Converge

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.

Answer 2

converge

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.