Games
Problems
Go Pro!

# First, Second,Third, Fourth

Pro Problems > Math > Algebra > Functions > Geometric Sequences

## First, Second,Third, Fourth

In a geometric sequence, the second term is three more than the first term, and the fourth term is four more than the third term. What is the common ratio?

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

### First, Second, Third

The sum of the first and third term of a geometric sequence (r≠0) exceeds the second term by the quantity
2a1 - a3
2
. Find the common ratio.

### Folding Again and Again

A sheet of paper is 1 millimeter thick. How many times would you have to fold it in half to create a stack 1 meter tall?

### Geometric Fifth

Find the fifth term of a geometric sequence, if the second term is 2, and the fourth term is 8.

### Arithmetic and Geometric

Two sequences have the same starting value. One sequence is arithmetic and the other is geometric.  The common ratio of the geometric sequence is equal to the common difference of the arithmetic sequence. The first term is four times the common ratio/difference. The sum of the first two terms of the geometric sequence is equal to the average of the following quantities:

2
Σan
n=1
and
3
Σan
n=2

Find all possible common differences, if all terms of each sequence are integers.

# Featured Games on This Site

Match color, font, and letter in this strategy game
Mastermind variation, with words

# 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