解:观察得:4²-2²=12=1*127²-5²=24=2*1210²-8²=36=3*1213²-11²=48=4*12...... 一般地:(3N+1)^2-(3N-1)^2=12N(N为自然数)江苏吴云超祝你学习进步
(4+3n)²-(2+3n)²=12(n+1) n≥0
(n+2)^2-n^2=4n+4
(n+1)^2-(n-1)^2=4n