Identify the Sequence 1 , 2 , 3 , 4 , 5

$1$ , $2$ , $3$ , $4$ , $5$

Step 1

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

Arithmetic Sequence: $d = 1$

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 $d = 1$ .

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

Step 4

Multiply $n - 1$ by $1$ .

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

Step 5

Combine the opposite terms in $1 + n - 1$ .

Subtract $1$ from $1$ .

$a_{n} = n + 0$

Add $n$ and $0$ .

$a_{n} = n$

Identify the Sequence 1 , 2 , 3 , 4 , 5

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