Position
1 2 3 4 5 n
Value of term
2 12 17 22 27

Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;

7, 12, 17, 22, 27

The expression for the nth term of the givens sequence is:

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, 27

Here, the first element of the sequence is:

An arithmetic sequence has a constant difference 'd' and is defined by  

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

so substituting d = 5 and in the nth term to determine the expression

Therefore, the expression for the nth term of the givens sequence is: