How many even numbers are greater than 202 and less than 405?
The first even number after 202 is 204, and the last even number before 405 is 404. I can use an arithmetic sequence formula to find the number of terms in this sequence. The general term of an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_1 is the first term, a_n is the nth term, and d is the common difference. In this case, a_1 = 204, a_n = 404, and d = 2, since the difference between consecutive even numbers is 2. 404 = 204 + (n - 1)2 200 = (n - 1)2 100 = n - 1 n = 101 This means there are 101 even numbers in the interval (202, 405).

