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