问题
填空题
集合A={x|x=2n,n∈N,0<n<12},B={y|y=3m,m∈N,0≤m≤8},则集合A∪B的所有元素之和为______.
答案
∵A={x|x=2n,n∈N,0<n<12},
∴A={2,4,6,8,10,12,14,16,18,20,22}
又B={y|y=3m,m∈N,0≤m≤8},
∴A={0,3,6,9,12,15,18,21,24}
∴A∪B={0,2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24}
由0+2+3+4+6+8+9+10+12+14+15+16+18+20+21+22+24=204
故答案为:204