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1) Consider the sequence of numbers where each number in the sequence.pdf

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The document describes a recursive sequence where each term is the sum of 3 times the previous previous term and the previous term, starting with 0 and 1. The recursive algorithm is Fn = 3Fn-1 + Fn-2. The matrix equation for the general term is Fn = [1 3] * [Fn-1 Fn-2]T. The 25th term is 13,889.

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1) Consider the sequence of numbers where each number in the sequence is obtained as a sum of two numbers: - 3 times the predecessor of a predecessor, and - predecessor while seed numbers are F0=0 and F1=1. a) Find the recursive algorithm for the given sequence of numbers. b) Find the matrix equation for the general term (Fn) of the sequence. c) Find the 25th term of the sequence.

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1) Consider the sequence of numbers where each number in the sequence.pdf

  • 1. 1) Consider the sequence of numbers where each number in the sequence is obtained as a sum of two numbers: - 3 times the predecessor of a predecessor, and - predecessor while seed numbers are F0=0 and F1=1. a) Find the recursive algorithm for the given sequence of numbers. b) Find the matrix equation for the general term (Fn) of the sequence. c) Find the 25th term of the sequence.