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Converges and diverged part 4


Converges and diverged part 4 ​-example-1
User Ahmadou
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1 Answer

4 votes

Answer:

Diverges; no sum

Explanation:

This is comparable to:


\sum_(k=1)^\infty a \cdot r^(k-1) where:

r is the common ratio and
a is the first term.

The series converges to:


\text{First term}\cdot \frac{1}{1-\text{common ratio}}

if the ratio's absolute value is less than 1.

This is a geometric series.

The common ration is -1.04 .

The first term in the series is 0.001.

Since the absolute value of -1.04 is 1.04>1, the series diverges.

User Jitsusama
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