0.1+0.3+0.5+…+0.95+0.97+0.99.
分析:通過觀察,此題可以分為兩部分,即0.1+0.3+0.5+…+0.9和0.11+0.13+…+0.99.0.1+0.3+0.5+…+0.9是一個公差為0.2的等差數(shù)列,0.11+0.13+…+0.99是一個公差為0.02的等差數(shù)列,運用等差公式,計算即可.
解答:解:0.1+0.3+0.5+…+0.95+0.97+0.99,
=0.1×(1+3+…+9)+0.01×(11+13+…+99),
=0.1×(1+9)×5÷2+0.01×(11+99)×45÷2,
=2.5+24.75,
=27.25.
點評:認真分析,找到解決問題的最佳方法,運用等差數(shù)列公式,簡便計算.
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