Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 6 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
Seven integers n + n+1 n+2 ....... n+6 = 7n + 21
equals 6 * (n+6) = 6n+36
7n+21 = 6n+36
n = 15 the smallest