<prompt> Find the sum of the first 30 positive integers.  <response>: The sum of the first 30 positive integers can be found using the formula for the sum of an arithmetic series, which is:sum n2first lastHere, n is the number of terms in the series, so n 30. The first term is 1 and the last term is 30. Plugging these values into the formula, gives:sum 3021 30sum 15 x 31sum 465Hence, the sum of the first 30 positive integers is 465. 