Algebra Examples

1

$1$ ,

2

$2$ ,

3

$3$ ,

4

$4$ ,

5

$5$

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} = 1

$a_{1} = 1$ and

d = 1

$d = 1$ .

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

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

Step 4

Multiply

n - 1

$n - 1$ by

1

$1$ .

a_{n} = 1 + n - 1

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

Step 5

Combine the opposite terms in

1 + n - 1

$1 + n - 1$ .

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Step 5.1

Subtract

1

$1$ from

1

$1$ .

a_{n} = n + 0

$a_{n} = n + 0$

Step 5.2

Add

n

$n$ and

0

$0$ .

a_{n} = n

$a_{n} = n$

a_{n} = n

$a_{n} = n$