Algebra Examples

5

$5$ ,

6

$6$ ,

7

$7$ ,

8

$8$ ,

9

$9$

Step 1

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

1

$1$ 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 = 1

$d = 1$

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} = 5

$a_{1} = 5$ and

d = 1

$d = 1$ .

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

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

Step 4

Multiply

n - 1

$n - 1$ by

1

$1$ .

a_{n} = 5 + n - 1

$a_{n} = 5 + n - 1$

Step 5

Subtract

1

$1$ from

5

$5$ .

a_{n} = n + 4

$a_{n} = n + 4$