# Geometric sequence equation

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Understand that sequences are types of functions, sometimes expressed recursively, whose domain is a subset.

About the Golden Ratio: The Golden Ratio can be illustrated within special dimensions of Sprials, Triangles and Rectangles where the ratio of the length of the short side to the long side is .618, was noted by ancient Greek architects as the most visually pleasing rectangle and its dimensions were used to construct buildings such as the Parthenon.:

Scatterplot activity from NCTM Illuminations website

This activity requires students to determine if a given sequence is arithmetic, geometric, or neither (they will use colors to do this). After that they will then determine the common difference (for arithmetic sequences) or the common ratio (for geometric sequences).Two versions of this activity are included, version one just has students working with numbers in the sequences that are positive, whereas version two is more challenging since it has both negative and positive numbers in the…

Quadratic Formula Song (Pop Goes The Weasel)

Arithmetic Sequence Foldable

Includes 5 sets of 5 Solving Equation and Inequality Problems6 Graphing Linear Functions 5 Slope Problems3 Regression Problems 5 Solving Quadratic Equations5 Exponential Growth and Decay 12 Polynomials Problems5 Systems of Linear Equations 4 Simplifying Radicals3 Arithmetic/Geometric Sequence 5 Solving Literal Equations5 Linear Characteristics 5 Writing Linear Equations5 Quadratic Characteristics 5 Transformation Problems11 Exponent Problems 4 Writing Equations from Verbal…

What is the nth Term of a Geometric Sequence

Using Algebra to Find the Sums of Sequences Algebra can help you add a series of numbers (the sum of sequences) more quickly than you would be able to with straight addition. Adding integers, squares, cubes, and terms in an arithmetic or geometric sequence is simple with these algebraic formulas: