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Fibonacci numbers are generated using a recursion rule that relates each number to the t...

Fibonacci numbers are generated using a recursion rule that relates each number to the two numbers that precede it. Similar sequences can be generated by using more than two numbers to determine a number in the sequence.

The Tribonacci numbers can be generated using the recursion rule Tn = Tn-1 + Tn-2 + Tn-3, where T1 = 1, T2 = 1, and T3 = 2.

a. Find the first 12 Tribonacci numbers.

b. Find the ratios of consecutive pairs of Tribonacci numbers from part (a); that is, calculate

What do you notice about the ratios?

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Solutions For Problems in Chapter 2.3
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