Question

Choose one sequence from each list. Write a full sentence to describe the recurrence relation of the sequence, then write a recursive formula.

Answer 1

An example of a sequence of substitutions comprised of at least two qualitatively superior substitutions over time is the Fibonacci sequence. The recurrence relation is F(n) = F(n-1) + F(n-2), and the recursive formula is F(1) = 1, F(2) = 1.

Step-by-step explanation:

A example of a sequence of substitutions comprised of at least two qualitatively superior substitutions over time is the Fibonacci sequence. The recurrence relation of the Fibonacci sequence is defined by the equation F(n) = F(n-1) + F(n-2), where F(n) represents the nth term in the sequence. The recursive formula for the Fibonacci sequence is F(1) = 1 and F(2) = 1, with subsequent terms calculated by summing the two previous terms.