Find the 7th Term 3 , 5 , 7 , 9 , 11

$3$ , $5$ , $7$ , $9$ , $11$

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 $a_{1} = 3$ and $d = 2$ .

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

Step 4

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $- 1$ .

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

Step 5

Subtract $2$ from $3$ .

$a_{n} = 2 n + 1$

Step 6

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

$a_{7} = 2 (7) + 1$

Step 7

Multiply $2$ by $7$ .

$a_{7} = 14 + 1$

Step 8

Add $14$ and $1$ .

$a_{7} = 15$

Find the 7th Term 3 , 5 , 7 , 9 , 11

Related Questions

Support LCMGCF.com by disabling your adblocker.