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