### All High School Math Resources

## Example Questions

### Example Question #1 : Sums Of Infinite Series

Find the value for

**Possible Answers:**

**Correct answer:**

Explanation:

To best understand, let's write out the series. So

We can see this is an infinite geometric series with each successive term being multiplied by .

A definition you may wish to remember is

where stands for the common ratio between the numbers, which in this case is or . So we get

### Example Question #2 : Sums Of Infinite Series

Evaluate:

**Possible Answers:**

The series does not converge.

**Correct answer:**

Explanation:

This is a geometric series whose first term is and whose common ratio is . The sum of this series is:

### Example Question #3 : Sums Of Infinite Series

Evaluate:

**Possible Answers:**

The series does not converge.

**Correct answer:**

Explanation:

This is a geometric series whose first term is and whose common ratio is . The sum of this series is:

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### All High School Math Resources

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