Geometric Sequences - Concept

Concept Concept (1)

When modeling real world situations, we often use what's called inverse or indirect variation to describe a relation between two variables. Indirect variation is a relation in which the absolute value of one variable gets smaller while the other gets larger. Indirect variation and direct variation are important concepts to understand when learning equations and interpreting graphs.

Sample Sample Problems (12)

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Geometric Sequences - Problem 1

Given 27, -9, 3, -1 ...

find an and a8
Problem 1
How to find the general term of a geometric sequence when given the first few terms.
Geometric Sequences - Problem 2

Given a geometric sequence with a2 = 6 and a4 = ⅔.

Find an
Problem 2
How to find the general term of a geometric sequence when given two random terms.
Geometric Sequences - Problem 3
Problem 3
How to write the first four terms of a geometric sequence from an explicit formula.
Geometric Sequences - Problem 4
Problem 4
Writing both explicit and recursive formulas for the same geometric number sequence.
Geometric Sequences - Problem 5
Problem 5
Finding the tenth term from a number list of a geometric sequence.
Geometric Sequences - Problem 6
Problem 6
Using a geometric sequence to model population growth or decline.
Geometric Sequences - Problem 7
Problem 7
How to find the first four terms of a geometric sequence from a recursive formula.
Geometric Sequences - Problem 8
Problem 8
Finding multiple geometric means between terms in a geometric sequence.
Geometric Sequences - Problem 9
Problem 9
Using a geometric sequence to find the depreciated value of a computer after a certain number of years.
Geometric Sequences - Problem 10
Problem 10
Finding the first term in a geometric sequence from two other known terms.
Geometric Sequences - Problem 11
Problem 11
How to find missing terms in geometric sequences from other known terms.
Geometric Sequences - Problem 12
Problem 12
Geometric means as the square root of the product of the terms on either side.