1
2
:2,
2
3
:3,
3
4
:4按這樣的規(guī)律寫下去,第5個比的比值是
1:6
1:6
分析:根據(jù)已知的三個式子可得排列規(guī)律:比的前項是分子按:1、2、3…排列,分母按:2、3、4…排列;后項按:2、3、4…排列;然后根據(jù)這個規(guī)律寫出第5個比并求比值即可;據(jù)此解答.
解答:解:第5個比是:
5
6
:5=(
5
6
×
6
5
):(5×
6
5
)=1:6;
故答案為:1:6.
點評:數(shù)列中的規(guī)律:關(guān)鍵是根據(jù)已知的式子或數(shù)得出前后算式或前后數(shù)之間的變化關(guān)系和規(guī)律,然后再利用這個變化規(guī)律再回到問題中去解決問題.
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