\( 2 + 10 + 18 + \ldots \)

This sequence starts with 2 and adds an increasing difference each time—specifically, the differences are 8 and 6, respectively. It's actually an example of a quadratic sequence, where the \( n \)th term can be represented as a polynomial. Each term can be expressed with the formula \( a_n = n^2 + n \). So, the sequence continues with terms like 30, 44, and so on! If you're summing this sequence, it's good to remember that the sum of the first \( n \) terms of a quadratic sequence can be found using the formula for the sum of squares, but first, ensure that it’s given or adjusted to fit the exact series you’re summing! The trick is to look for patterns and relate them back to well-known formulas to make calculations easier.