Mathematics, 21.10.2019 18:20 jose477
Consider the sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, … where each number beyond the third is the sum of the previous
three. let wn be the points with the nth, (n + 1)th, and (n + 2)th terms of the sequence.
a. find a 3 × 3 matrix a so that awn = wn+1 for each n.
b. what is the 30th term of the sequence?
c. what is a−1? explain what a−1 represents in terms of the sequence. in other words, how can you find wn−1 if
you know wn?
d. could you find the −5th term in the sequence? if so, how? what is its value?
Answers: 3
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Consider the sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, … where each number beyond the third is the sum...
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