Identify the Sequence -6.75 , -6.25 , -5.75

$- 6.75$ , $- 6.25$ , $- 5.75$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $0.5$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 0.5$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = - 6.75$ and $d = 0.5$ .

$a_{n} = - 6.75 + 0.5 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = - 6.75 + 0.5 n + 0.5 \cdot - 1$

Multiply $0.5$ by $- 1$ .

$a_{n} = - 6.75 + 0.5 n - 0.5$

Step 5

Subtract $0.5$ from $- 6.75$ .

$a_{n} = 0.5 n - 7.25$

Identify the Sequence -6.75 , -6.25 , -5.75

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