Understanding Recursion and Recursive Formulas

What is the main characteristic of a recursive formula?

• It requires a graph to be plotted.

• It generates each term based on the previous term(s).

• It uses a fixed constant to generate terms.

• It only applies to arithmetic sequences.

In the Fibonacci sequence, how is the third term calculated?

• By subtracting the first term from the second.

• By adding the first two terms.

• By dividing the second term by the first.

• By multiplying the first two terms.

What is the first term in the sequence 4, 8, 12, 16, 20 when expressed recursively?

• f(1) = 12

• f(1) = 8

• f(1) = 4

• f(1) = 16

How do you calculate the second term in a recursive sequence if the first term is 4?

• Divide the first term by 2.

• Subtract 2 from the first term.

• Multiply the first term by 2.

• Add 4 to the first term.

In a recursive formula for the Fibonacci sequence, what does T(n) represent?

• The sum of the two preceding terms.

• The product of the first and last terms.

• The difference between the first and last terms.

• The sum of all previous terms.