Algebra Examples

$10$ , $11$ , $12$ , $13$

Step 1

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

Arithmetic Sequence: $d = 1$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = 10$ and $d = 1$ .

$a_{n} = 10 + 1 (n - 1)$

Step 4

Multiply $n - 1$ by $1$ .

$a_{n} = 10 + n - 1$

Step 5

Subtract $1$ from $10$ .

$a_{n} = n + 9$