Identify the Sequence -8 , 9 , 26 , 43 , 60

$- 8$ , $9$ , $26$ , $43$ , $60$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $17$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 17$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = - 8$ and $d = 17$ .

$a_{n} = - 8 + 17 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = - 8 + 17 n + 17 \cdot - 1$

Multiply $17$ by $- 1$ .

$a_{n} = - 8 + 17 n - 17$

Step 5

Subtract $17$ from $- 8$ .

$a_{n} = 17 n - 25$

Identify the Sequence -8 , 9 , 26 , 43 , 60

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