![]() 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. Suppose also that each long syllable takes twice as long to articulate as a short syllable. Sal finds the 4th term in the sequence whose recursive formula is a (1)-, a (i)2a (i-1). Example 4: finding a recursive formula of a geometric sequence. To obtain the third sequence, we take the second term and multiply it by the common ratio. Then we multiply the first term by a fixed nonzero number to get the second term of the geometric sequence. To generate a geometric sequence, we start by writing the first term. Suppose we assume that lines are composed of syllables which are either short or long. How to Derive the Geometric Sequence Formula. ![]() 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: The recursive formula of the geometric sequence is given by option D an (1) × (5)(n - 1) for n 1 How to determine recursive formula of a geometric sequen See what teachers have to say about Brainlys new learning tools WATCH. ![]() ![]() Historically, it is interesting to note that Indian mathematicians were studying these types of numerical sequences well before Fibonacci. ![]()
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