Geometric sequences

4 videos
5 skills
Review geometric sequences before you dive into geometric series.

Introduction to geometric sequences

VIDEO 10:45 minutes
Sal introduces geometric sequences and their main features, the initial term and the common ratio.

Find the next term of a geometric sequence

PRACTICE PROBLEMS
Given the first few terms in a geometric sequence, find the next term in the sequence.

Find any term of a geometric sequence from its formula

PRACTICE PROBLEMS
Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence.

How to find the explicit and the recursive formulas of a geometric sequence (example)

VIDEO 5:38 minutes
Sal finds an explicit formula of a geometric sequence given the first few terms of the sequences. Then he explores equivalent forms the explicit formula and finds the corresponding recursive formula.

Find explicit formulas for geometric sequences

PRACTICE PROBLEMS
Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence.

How to convert an explicit formula of a geometric sequence to a recursive formula (example)

VIDEO 6:30 minutes
Sal solves the following problem: The explicit formula of a geometric sequence is g(x)=9*8^(x-1). Find the recursive formula of the sequence.

Find recursive formulas for geometric sequences

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

Model real-world situations with arithmetic and geometric sequences

PRACTICE PROBLEMS
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.