Finite Math Examples

f (n) = (f n - 2)

$f (n) = (f n - 2)$ ,

f (0) = 1

$f (0) = 1$ ,

f (1) = - 1

$f (1) = - 1$

Step 1

Evaluate

f (0) = 1

$f (0) = 1$ .

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Step 1.1

Evaluate

f (0)

$f (0)$ .

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Step 1.1.1

Replace the variable

n

$n$ with

0

$0$ in the expression.

f (0) = f (0) - 2

$f (0) = f (0) - 2$

Step 1.1.2

Simplify

f (0) - 2

$f (0) - 2$ .

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Step 1.1.2.1

Remove parentheses.

f (0) - 2

$f (0) - 2$

Step 1.1.2.2

Multiply

f

$f$ by

0

$0$ .

0 - 2

$0 - 2$

Step 1.1.2.3

Subtract

2

$2$ from

0

$0$ .

- 2

$- 2$

- 2

$- 2$

- 2

$- 2$

Step 1.2

Solve

- 2 = 1

$- 2 = 1$ .

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Step 1.2.1

Since

- 2 \neq 1

$- 2 \neq 1$ , there are no solutions.

No solution

No solution

No solution

Step 2

Evaluate

f (1) = - 1

$f (1) = - 1$ .

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Step 2.1

Evaluate

f (1)

$f (1)$ .

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Step 2.1.1

Replace the variable

n

$n$ with

1

$1$ in the expression.

f (1) = f (1) - 2

$f (1) = f (1) - 2$

Step 2.1.2

Simplify

f (1) - 2

$f (1) - 2$ .

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Step 2.1.2.1

Remove parentheses.

f (1) - 2

$f (1) - 2$

Step 2.1.2.2

Multiply

f

$f$ by

1

$1$ .

f - 2

$f - 2$

f - 2

$f - 2$

f - 2

$f - 2$

Step 2.2

Solve

f - 2 = - 1

$f - 2 = - 1$ .

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Step 2.2.1

Move all terms not containing

f

$f$ to the right side of the equation.

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Step 2.2.1.1

Add

2

$2$ to both sides of the equation.

f = - 1 + 2

$f = - 1 + 2$

Step 2.2.1.2

Add

- 1

$- 1$ and

2

$2$ .

f = 1

$f = 1$

f = 1

$f = 1$

f = 1

$f = 1$

f = 1

$f = 1$

Step 3

List all of the solutions.

No solution

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$