![]() To do this, its easiest to plug our recursive formula into a. We often want to find an explicit formula for bn, which is a formula for which bn1,bn2,b1,b0 dont appear. because bn is written in terms of an earlier element in the sequence, in this case bn1. Calculate let n2 and so: Calculate let n3 and so: Now the only answer choice that will return the same values is: D. An example of a recursive formula for a geometric sequence is. Lets calculate the first three terms using the top equations, but since we already know what is then we only need and. Clearly a line of length \(n\) units takes the same time to articulate regardless of how it is composed. Step-by-step explanation: The equation for geometric sequence is: Since we know and. Then he explores equivalent forms the explicit formula and finds the corresponding recursive formula. A line of length \(n\) contains \(n\) units where each short syllable is one unit and each long syllable is two units. Sal finds an explicit formula of a geometric sequence given the first few terms of the sequences. Suppose also that each long syllable takes twice as long to articulate as a short syllable. Suppose we assume that lines are composed of syllables which are either short or long. ![]() Answer Button navigates to signup page Comment Button navigates to signup page (15 votes) Upvote. An example of a recursive formula for a geometric sequence is. Can anyone explain the basic rules for them Thanks. Explicit & recursive formulas for geometric sequences Google Classroom About Transcript Sal finds an explicit formula of a geometric sequence given the first few terms of the sequences. 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: I find recursive sequences really, really confusing. ![]() Historically, it is interesting to note that Indian mathematicians were studying these types of numerical sequences well before Fibonacci.
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