# Peculiar Sequence of Positive Integers!

**Number Theory**Level 4

The sequence of increasing positive integers \({(x_n)_{n \geq 1}}\) is defined as follows: \(\large{x_1 = 1}\), the next two terms are 2 even numbers larger than the previous terms - (\(2\) and \(4\)), the next three terms are the three smallest odd numbers that are larger than all the previous terms - (\(5, 7, 9\)), the next four terms are 4 smallest even numbers larger than all the previous terms - (\(10, 12, 14, 16\)) and so on. Find \(\large{x_{2015}}\).

**Bonus**: Generalize for \(\large{x_n}\).

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