# Infinite Sum, Partial Sum

Pro Problems > Math > Algebra > Functions > Geometric Series## Infinite Sum, Partial Sum

The sum of the first three terms of a geometric series is 16 less than the sum of all the terms. The fourth term is 4 more than twice the common ratio. Find the first term.

Presentation mode

Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.Assign this problem

Click here to assign this problem to your students.## Similar Problems

### Sums to Ten

The sum of an infinite geometric series is 10, and the common ratio is . What is the first term?

1

5

### Ratio and Term

The common ratio of an infinite geometric series is a third of the first term. The sum is . What is the first term?

9

2

# Blogs on This Site

Reviews and book lists - books we love!

The site administrator fields questions from visitors.

Like us on Facebook to get updates about new resources