# Geometric Sequence Equation

differentiate among arithmetic, geometric and other types of sequences

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Math = Love: Sequences and Series Foldables & INB Pages

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Arithmetic, Geometric, or Neither?

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Arithmetic Sequences and Series Foldables

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The Golden Section

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Do your students focus on number pattern (sequences) instead of variable relationship (function)? Mine too! Let's use their tendencies to our advantage when teaching arithmetic and geometric sequences as function models in Algebra 1 or Algebra 2. This bundle includes investigations and cooperative learning activities to connect sequences and functions while prompting students to write explicit and recursive formulas to model situations.

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This foldable provides an organized way of taking notes. It easily compares the rules and examples for arithmetic and geometric sequences.An answer key is included!This foldable is also included in The Ultimate Foldable Bundle for 8th Grade Math, Pre-Algebra, and Algebra 1!

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Another visual proof, this one showing that one third equals the following infinite series.

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Crop circle

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Fourier series - Wikipedia, the free encyclopedia

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Arithmetic Sequences

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Restructuring Algebra: Linear Functions (Part 2)

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Fractals, the art of nature. Even DNA itself follows the golden spiral.

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Geometric & Arithmetic Sequences Download using Box

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Fibonacci vs Golden Ratio

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Students revisit linear and exponential scenarios through equations, tables and graphs. They will use horizontal shifts to create sequences with initial values at n=1. They will practice writing functions using sequence notation. Given selected values for a sequence, students will find the initial value, common difference or common ratio then write the formula for the sequence. They will use the formulae for finite series. This mission is aligned with Common Core State Standards: HSF.LE.A.2

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Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages. Fibonacci numbers are the numbers in the following integer sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ,55, 89, 144...They also appear in biological settings, such as branching in trees, arrangement of leaves on a stem, the fruit spouts of a pineapple,the flowering of artichoke, an uncurling fern and the arrangement of a pine cone..

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‘Same Difference” by Frederick Hammersley, 1959. Oil on linen, 12 x 8.5 inches. Photo: Gary Mamay.

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Violin Golden Mean Poster

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Fibonacci subdivisions in the hand.

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