Question 295510
{{{S = n/2 * (n + 1)}}}
{{{703 = n/2 * (n + 1)}}}
{{{703 = n^2/2 + n/2)}}}
multiply all by 2
{{{1406 = n^2 + n)}}}
{{{0 = n^2 + n - 1406)}}}
{{{0 = (n - 37)*(n + 38)}}}
n - 37 = 0 or n + 38 = 0
n = 37 or n = -38
because the number of the integers can't be a negative number, so the number of the integers = 37