![]() ![]() Clearly a line of length \(n\) units takes the same time to articulate regardless of how it is composed. A line of length \(n\) contains \(n\) units where each short syllable is one unit and each long syllable is two units. ![]() To find the fourteenth term, a 14, use the formula with a 1 64 and r 1 2. Suppose also that each long syllable takes twice as long to articulate as a short syllable. Find the fourteenth term of a sequence where the first term is 64 and the common ratio is r 1 2. Suppose we assume that lines are composed of syllables which are either short or long. In particular, about fifty years before Fibonacci introduced his sequence, Acharya Hemachandra (1089 – 1173) considered the following problem, which is from the biography of Hemachandra in the MacTutor History of Mathematics Archive: a7 27, d 13 a23 28.6, d 1. In a Geometric Sequence each term is found by multiplying the previous term by a constant. It is suggested to print out the eight Question Cards on colored paper, and the eight Answer Cards on a. Explicit & Recursive Formulas Notes, Arithmetic & Geometric Sequences Notes (42, 43, 44 INT 3), Teacher. It includes eight Question Cards and eight Answer Cards, complete directions, and an answer key. Geometric Sequence (A.SSE.4) This worksheet drills the understanding of how to find the Explicit & Recursive Formula of a Geometric Sequence. ![]() Historically, it is interesting to note that Indian mathematicians were studying these types of numerical sequences well before Fibonacci. A Sequence is a set of things (usually numbers) that are in order. This activity is designed to help students practice using the explicit and recursive formulas for Arithmetic and Geometric Sequences. ![]()
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