Algebra Examples

9

$9$ ,

7

$7$ ,

5

$5$ ,

3

$3$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

- 2

$- 2$ to the previous term in the sequence gives the next term. In other words,

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

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

Arithmetic Sequence:

d = - 2

$d = - 2$

Step 2

This is the formula of an arithmetic sequence.

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

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

Step 3

Substitute in the values of

a_{1} = 9

$a_{1} = 9$ and

d = - 2

$d = - 2$ .

a_{n} = 9 - 2 (n - 1)

$a_{n} = 9 - 2 (n - 1)$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Apply the distributive property.

a_{n} = 9 - 2 n - 2 \cdot - 1

$a_{n} = 9 - 2 n - 2 \cdot - 1$

Step 4.2

Multiply

- 2

$- 2$ by

- 1

$- 1$ .

a_{n} = 9 - 2 n + 2

$a_{n} = 9 - 2 n + 2$

a_{n} = 9 - 2 n + 2

$a_{n} = 9 - 2 n + 2$

Step 5

Add

$9$ and

$2$ .

$a_{n} = - 2 n + 11$

$9, 7, 5, 3$

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