GCSE Secondary Maths Age 13-17 - Algebra: Fibonacci Sequence - Explained

The video tutorial explains the Fibonacci sequence, demonstrating how to find the ninth term by adding the two previous terms. It then introduces an algebraic representation of the sequence, showing how to derive the sixth term as 3A + 5B. Finally, it solves simultaneous equations to find the values of A and B, given specific terms in the sequence. The tutorial emphasizes understanding instructions, algebraic manipulation, and solving equations.

What is the rule for finding the next term in a Fibonacci sequence?

• Add the two previous terms

• Subtract the previous term from the next

• Divide the previous term by 2

• Multiply the previous term by 2

What is the ninth term of the Fibonacci sequence starting with 1, 1, 2, 3, 5, 8?

• 21

• 34

• 13

• 55

In the algebraic Fibonacci sequence, what is the expression for the fourth term if the first three terms are A, B, and A+B?

• 2A + B

• A + 2B

• A + B

• 2A + 2B

How is the sixth term of the algebraic Fibonacci sequence expressed?

• A + 3B

• 3A + 5B

• 3A + 2B

• 2A + 3B

If the third term is 7 and the sixth term is 29, what is the value of A?

• 5

• 3

• 4

• 2

Given the third term is 7 and the sixth term is 29, what is the value of B?

• 3

• 5

• 2

• 4

What mathematical concept was primarily used to solve for A and B in the sequence?

• Differential equations

• Inequalities

• Quadratic equations

• Simultaneous equations