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

Question

asked Apr 11, 2022 2.8k views

2 Answers

Caeus · Answer 1 · 2022-04-11T20:31:40+0000

Answer:

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.

Mariusz Wiazowski · Answer 2 · 2022-04-15T15:45:56+0000

Answer:

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.