①1+3=4;
1+3+5=9;
1+3+5+7=16;
1+3+5+7+9=25.
②从以上个题得出规律:有几个连续的奇数相加,和就是几乘几.
1+3+5+7+9+11,
=6×6,
=36;
1+3+5+7+9+11+13,
=7×7,
=49.
③1+3+5+7+…+99,
=[(99-1)÷2+1]×[(99-1)÷2+1],
=50×50,
=2500;
101+103+105+…+199,
=100×[(199-101)÷2+1]+(1+3+5+…+99),
=100×50+[(199-101)÷2+1]×[(199-101)÷2+1],
=5000+50×50,
=7500.