Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $7$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
the integers are n n+1 n+2 ..... n+6 and summed they equal 7 ( n+6)
7n + 21 = 7 (n+6) <==== this can't be true....no answer ....no solution.