450分拆成若干连续自然数的和,有8种方法.
149+150+151,111+112+113+114,88+89+90+91+92,
46+47+…+54,32+33+…+43,23+24+…+37,13+14+…+32,6+7+…+30
设k+1,k+2,...,k+n是n个连续的自然数,如果
(k+1)+...+(k+n)=(k+k+n+1)n/2=450
则((2k+n+1)n=900,由(2k+n+1)>n,故得n