Identify the Sequence -2 , 1 , 4 , 7 , 10

$- 2$ , $1$ , $4$ , $7$ , $10$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $3$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 3$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = - 2$ and $d = 3$ .

$a_{n} = - 2 + 3 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = - 2 + 3 n + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$a_{n} = - 2 + 3 n - 3$

Step 5

Subtract $3$ from $- 2$ .

$a_{n} = 3 n - 5$

Identify the Sequence -2 , 1 , 4 , 7 , 10

Related Questions

Support LCMGCF.com by disabling your adblocker.