Sum of consecutive integers is equal to to the product of the first and the last terms:
a, b, c, …, n are consecutive integers.
a + b + … + n = a * n
3 + 4 + 5 + 6 = 18 = 3 * 6
15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35 = 525 = 15 * 35
(1) Find another sequence of consecutive integers whose sum is equal to the product of the first and the last terms.
(2) To prove that there are infinitely many finite sequences of this property