Find the Next Term 1 , 3 , 5 , 7 , 9

$1$ , $3$ , $5$ , $7$ , $9$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $2$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 2$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

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

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

Step 4

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $- 1$ .

$a_{n} = 1 + 2 n - 2$

Step 5

Subtract $2$ from $1$ .

$a_{n} = 2 n - 1$

Step 6

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

$a_{6} = 2 (6) - 1$

Step 7

Multiply $2$ by $6$ .

$a_{6} = 12 - 1$

Step 8

Subtract $1$ from $12$ .

$a_{6} = 11$

Find the Next Term 1 , 3 , 5 , 7 , 9

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