### 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 #1 : 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 #1 : 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:

### All High School Math Resources

Popular Subjects

GMAT Tutors in Los Angeles, French Tutors in Phoenix, Physics Tutors in Seattle, Math Tutors in Washington DC, GRE Tutors in Miami, GMAT Tutors in New York City, Calculus Tutors in Boston, Statistics Tutors in Chicago, French Tutors in Atlanta, Math Tutors in Chicago
Popular Courses & Classes

Spanish Courses & Classes in Atlanta, SAT Courses & Classes in Washington DC, SSAT Courses & Classes in Seattle, ISEE Courses & Classes in Atlanta, GRE Courses & Classes in Miami, LSAT Courses & Classes in San Diego, SSAT Courses & Classes in Atlanta, GRE Courses & Classes in Houston, LSAT Courses & Classes in Miami, GMAT Courses & Classes in Philadelphia