Arithmetic and GeometricPro Problems > Math > Algebra > Functions > Geometric Sequences
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:
Find all possible common differences, if all terms of each sequence are integers.
SolutionIn 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.
Find the fifth term of a geometric sequence, if the second term is 2, and the fourth term is 8.
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?
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?
Educators can get a free membership simply by sharing an original lesson plan on our Articles for Educators page!