Precalculus Examples

$4$ , $6$ , $8$ , $10$ , $12$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $2$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 2$

Step 2

This is the formula of an arithmetic sequence.

$a_{n} = a_{1} + d (n - 1)$

Step 3

Substitute in the values of $a_{1} = 4$ and $d = 2$ .

$a_{n} = 4 + 2 (n - 1)$

Step 4

Simplify each term.

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Step 4.1

Apply the distributive property.

$a_{n} = 4 + 2 n + 2 \cdot - 1$

Step 4.2

Multiply $2$ by $- 1$ .

$a_{n} = 4 + 2 n - 2$

Step 5

Subtract $2$ from $4$ .

$a_{n} = 2 n + 2$