Algebra Examples

$a_{n} = 4 + (n - 1) (7)$

Step 1

Multiply $n - 1$ by $7$ .

$a_{n} = 4 + (n - 1) \cdot 7$

Step 2

Simplify $4 + (n - 1) \cdot 7$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$a_{n} = 4 + n \cdot 7 - 1 \cdot 7$

Step 2.1.2

Move $7$ to the left of $n$ .

$a_{n} = 4 + 7 \cdot n - 1 \cdot 7$

Step 2.1.3

Multiply $- 1$ by $7$ .

$a_{n} = 4 + 7 n - 7$

Step 2.2

Subtract $7$ from $4$ .

$a_{n} = 7 n - 3$

Step 3

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.

$f (n) = 7 n - 3$