The given sequence follows the pattern of increasing odd numbers. To find the 205th term, we can use the formula for the nth term of an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this case, the first term is 1 and the common difference is 2 (since we are adding 2 to each term to get the next one). Plugging in the values, we have:

205th term = 1 + (205 - 1) * 2
= 1 + 204 * 2
= 1 + 408
= 409

Therefore, the 205th term of the given sequence is 409.