Geometric sequence calculator and problems solver
This online calculator solves common geometric sequences problems.
This content is licensed under Creative Commons Attribution/ShareAlike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/8312/. Also, please do not modify any references to the original work (if any) contained in this content.
This online calculator can solve geometric sequences problems. Currently, it can help you with the two common types of problems:

Find the nth term of an geometric sequence given mth term and the common ratio. Example problem: An geometric sequence has a common ratio equals to 1 and its 1st term equals to 10. Find its 8th term.
 Find the nth term of an geometric sequence given ith term and jth term. Example problem: An geometric sequence has its 3rd term equals to 1/2 and its 5th term equals to 8. Find its 8th term.
Some theory and description of the solutions can be found below the calculator.
Geometric sequence
To recall, an geometric sequence, or geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, nonzero number called the common ratio.
Thus, the formula for the nth term is
where r is the common ratio.
You can solve first type of problems listed above by calculating the first term a1, using the formula
and then using the geometric sequence formula for the unknown term.
For the second type of problems, first you need to find common ratio using the following formula derived from the division of equation for one known term by equation for another known term
After that, it becomes the first type of problem.
For the convinience, the calculator above also calculates the first term and general formula for the nth term of an geometric sequence.
Comments