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Understanding Recursion and Recursive Formulas

Understanding Recursion and Recursive Formulas

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Jennifer Brown

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

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