What is the next term in the sequence 12,17,22,27,32

The series in +5.
So, the next term in the sequence is 37.

This is an arithmetic sequence. This means that there is a constant rate of change through addition or subtraction. We can simply find the rate of change, and add that to our last term to find out next term. However, there’s an algebraic formula for this. The formula for arithmetic sequence/progression is an = a1 + (n-1)d. an is the term we’re looking for, in this case, the 6th term. a1 is our first term, and d is the common difference. The common difference is +5 in this sequence.

If we plug in our numbers, we get a6 = 12 + (6-1)5. This gives us a6 = 12 + 5(5). a6 = 12 + 25. a6 = 12 + 25. 12 + 25 is 37. Therefore, the next term in this sequence is 37.