Find the 5th Term -5 , 7 , 19 , 31

$- 5$ , $7$ , $19$ , $31$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $12$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 12$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = - 5$ and $d = 12$ .

$a_{n} = - 5 + 12 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = - 5 + 12 n + 12 \cdot - 1$

Multiply $12$ by $- 1$ .

$a_{n} = - 5 + 12 n - 12$

Step 5

Subtract $12$ from $- 5$ .

$a_{n} = 12 n - 17$

Step 6

Substitute in the value of $n$ to find the $n$ th term.

$a_{5} = 12 (5) - 17$

Step 7

Multiply $12$ by $5$ .

$a_{5} = 60 - 17$

Step 8

Subtract $17$ from $60$ .

$a_{5} = 43$

Find the 5th Term -5 , 7 , 19 , 31

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