If you're seeing this message, it means we're having trouble loading external resources for Khan Academy.
If you're behind a web filter, please make sure that the domains
*.kastatic.org and *.kasandbox.org are unblocked.
What happens when the ratio between successive terms in a sequence is the same (or it has a "common ratio")? Well, then we'd be dealing with a geometric sequence (which comes up extremely frequently in mathematics).
Sal introduces geometric sequences and their main features, the initial term and the common ratio.
Solve problems such as: The first four terms of a geometric sequence are 64. -32. 16, and -8. What is the fifth term in the sequence?
Given a geometric sequence, ether in explicit form or in recursive form, find a specific term in the sequence.
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.
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 the recursive formula of a geometric sequence given the first few terms or given an explicit formula. Convert a recursive formula to an explicit formula.
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.