Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.

A comprehensive guide for learning all about sequences with definitions, the types of sequences, examples of sequences, formulas for sequences, solved examples, and practice questions.

Given a verbal description of a real-world relationship, determine the sequence that models that relationship. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Evaluate finite geometric series given in sigma notation, recursively, or explicitly. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Here, students can practice solving word problems involving a finite geometric series. They receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

This task, commentary, and solutions, were authored by Lacey Dixon and Jonathan Utegaard of The University of Arizona. The purpose of this task is to have students derive the formula for the sum of a specific finite geometric series....

There are many other sequences that are based on certain geometric shapes. These sequences are often called Figurate numbers, numbers that can be represented using geometric shapes. Examples include square, triangle, and tetrahedral...

If art and math are both passions of yours, this project is meant for you! Spidrons are geometric forms made from alternating sequences of equilateral and isosceles (30 degrees, 30 degrees, 120 degrees) triangles. Spidrons were...

Step through the generation of Sierpinski's Carpet, a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

Step through the generation of the Koch Snowflake, a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.