2×2×2+4×4×4+6×6×6+…+98×98×98+100×100×100 简便计算~
问题描述:
2×2×2+4×4×4+6×6×6+…+98×98×98+100×100×100 简便计算~
答
设2×2×2为a原式=a+8a+27a+…=1³a+2³a+3³a+...+49³a+50³a=(1+2+3+...+50)²a=1275²a=1625625×(2×2×2)=13005000=1³a+2³a+3³a+...+49³a+50³a=(...