Question

Khanacademy Units: Sequences
What does f(3) equal?

Answer 1

f(3) = 100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

`\displaystyle \left \{ {{f(1) = 4} \atop {{f(2) = 25} \atop {f(n) = f(n - 2) \cdot f(n - 1)}} \right.`

Step 2: Evaluate

1. Substitute in n [Function f(n)]: f(3) = f(3 - 2) · f(3 - 1)
2. Simplify: f(3) = f(1) · f(2)
3. Substitute in function values: f(3) = 4 · 25
4. Multiply: f(3) = 100