The Fibonacci sequence additionally underpins many natural phenomena, such because the branching patterns of timber, the arrangement of leaves on a stem, and the spiral patterns of shells. In finance, it is utilized in technical evaluation to foretell inventory market developments via Fibonacci retracement ran

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Palindromes are of explicit interest in computer science for constructing algorithms that examine for symmetry in information structures, similar to strings and arrays. They also function in DNA sequences, where certain organic capabilities are associated to palindromic segme

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Geometric sequences are one other well-liked type of number patterns, wherein each time period is produced by multiplying the earlier term by a fixed, non-zero quantity referred to as the common ratio. Take the sequence three, 9, 27, eighty one... for instance; right here, each time period is acquired by multiplying the previous time period by 3. The common form for a geometric sequence is: \(a_n = a_1 \times r^(n-1)\), the place \(r\) is the common ra