Fibonacci and Recursive Sequences

The video tutorial explains the Fibonacci sequence as a recursive sequence, where each term is the sum of the two preceding ones. It contrasts this with a simple recursive sequence where a constant is added to each term. The tutorial clarifies that the Fibonacci sequence does not follow the general recursive rule due to its unique pattern. It demonstrates how to calculate terms in the Fibonacci sequence and addresses common misconceptions about its structure.

What is the nature of the Fibonacci sequence?

• Arithmetic sequence

• Geometric sequence

• Recursive sequence

• Exponential sequence

In a simple recursive sequence, what is added to each term to find the next term?

• 4

• 3

• 6

• 5

What is the value of the sixth term in the simple recursive sequence example?

• 17

• 21

• 25

• 29

What is the value of the fifth term in the simple recursive sequence example?

• 25

• 17

• 21

• 13

What is the recursive rule for the Fibonacci sequence?

• a_n = a_(n-1) + 1

• a_n = a_(n-1) * 2

• a_n = a_(n-1) - a_(n-2)

• a_n = a_(n-1) + a_(n-2)

What is the value of the eighth term in the Fibonacci sequence?

• 13

• 8

• 21

• 34

Why does the Fibonacci sequence not follow the general recursive rule?

• It multiplies the previous term

• It adds the previous two terms

• It is not a sequence

• It has a common difference

What is the common misunderstanding about the Fibonacci sequence?

• It is not a sequence

• It is a geometric sequence

• It follows the general recursive rule

• It is an arithmetic sequence

What is the ninth term in the Fibonacci sequence?

• 13

• 21

• 34

• 55

What is the tenth term in the Fibonacci sequence?

• 21

• 34

• 89

• 55