Found by adding the same number to the previous term?

The sequence you are describing is an arithmetic sequence, where each term is generated by adding a constant value, known as the common difference, to the previous term. For example, if the first term is 3 and the common difference is 2, the sequence would be 3, 5, 7, 9, and so on. This method of generating terms highlights the linear nature of arithmetic sequences. The formula for the nth term can be expressed as ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference.