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

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:

Σa_n

n=1

and

Σa_n

n=2

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