Identify the Sequence -2.7 , -8.3 , -13.9 , -19.5 , -25.1

$- 2.7$ , $- 8.3$ , $- 13.9$ , $- 19.5$ , $- 25.1$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $- 5.6$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = - 5.6$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = - 2.7$ and $d = - 5.6$ .

$a_{n} = - 2.7 - 5.6 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = - 2.7 - 5.6 n - 5.6 \cdot - 1$

Multiply $- 5.6$ by $- 1$ .

$a_{n} = - 2.7 - 5.6 n + 5.6$

Step 5

Add $- 2.7$ and $5.6$ .

$a_{n} = - 5.6 n + 2.9$

Identify the Sequence -2.7 , -8.3 , -13.9 , -19.5 , -25.1

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