Algebra Examples

$a_{n} = 4 - 3 (n - 1)$

Step 1

Simplify $4 - 3 (n - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$a_{n} = 4 - 3 n - 3 \cdot - 1$

Step 1.1.2

Multiply $- 3$ by $- 1$ .

$a_{n} = 4 - 3 n + 3$

Step 1.2

Add $4$ and $3$ .

$a_{n} = - 3 n + 7$

Step 2

To rewrite as a function of $n$ , write the equation so that $a_{n}$ is by itself on one side of the equal sign and an expression involving only $n$ is on the other side.

$f (n) = - 3 n + 7$