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練習題3.15W

問題詳情:

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求l+2+22+23+24+…+22013的值.                                    

解:設 S=l+2+22+23+24+…+22012+22013      ①                        

    則2S=2+22+23+24+25+…+22013+22014   ②                          

    ②-①,得2S﹣S=22014一l                                     

           即S=22014一l                                         

 ∴1+2+22+23+24+…+22013=22014一l                                  

仿照此法計算:

(1)閱讀材料:                                                  ...           (2)閱讀材料:                                                  ... 第2張

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知識點:有理數的乘方

題型:解答題

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