2 4 8 14 20 ( )42
问题描述:
2 4 8 14 20 ( )42
希望把规律写出来.
答
∵a1=2=2+2×0=2+2×(1-1)
a2=4=2+2×1=2+2×(2-1)
a3=8=4+2×2=4+2×(3-1)
a4=14=8+2×3=8+2×(4-1)
.
∴an=a(n-1)+2×(n-1)
∴a6=a5+2×(6-1)
=20+2×5
=30
即,()中填写30.