
1+2+3+4+...29+30
计算下列各题.①1+2+3+4+…+29+30②21+22+23+…30+31+32③5+10+15+…90+95+100④1+3+5+7+…47+49....
计算下列各题. ①1+2+3+4+…+29+30 ②21+22+23+…30+31+32 ③5+10+15+…90+95+100 ④1+3+5+7+…47+49.
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①1+2+3+4+…+29+30,
=(1+30)×30÷2,
=31×30÷2,
=465;
②21+22+23+…30+31+32,
=(21+32)×12÷2,
=53×12÷2,
=318;
③5+10+15+…90+95+100,
=(5+100)×[(100-5)÷5+1]÷2,
=105×20÷2,
=1050;
④1+3+5+7+…47+49,
=(1+49)×[(49-1)÷2+1]÷2,
=50×25÷2,
=625.
=(1+30)×30÷2,
=31×30÷2,
=465;
②21+22+23+…30+31+32,
=(21+32)×12÷2,
=53×12÷2,
=318;
③5+10+15+…90+95+100,
=(5+100)×[(100-5)÷5+1]÷2,
=105×20÷2,
=1050;
④1+3+5+7+…47+49,
=(1+49)×[(49-1)÷2+1]÷2,
=50×25÷2,
=625.
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