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(2009•鄂州)为了求1+2+22+23+…+22008的值,可令S=1+2+22+23...
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(2009•鄂州)为了求1+2+2
2+2
3+…+2
2008的值,可令S=1+2+2
2+2
3+…+2
2008,则2S=2+2
2+2
3+…+2
2009,因此2S-S=2
2009-1,所以1+2+2
2+2
3+…+2
2008=2
2009-1.仿照以上推理计算出1+5+5
2+5
3+…+5
2009的值是( )
A.5
2009-1
B.5
2010-1
C.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
相关试题
-
(2009•鄂州)为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
(2009•鄂州)为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
(2009•鄂州)为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
(2009•鄂州)为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHNSURBVGhD7ZgBksQQEEWdzJ1cx2UcJUfp1QTN
RNKxYrenMlVTNTESz/d9QoHgjxLMDt8Mv4HVCpTCrwFHh2mzoEO5BruRP3rlzuzPUWCqB42P/any
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tTDp+m75L9lvTFivvNnVuw0Z/F6sgsrTkRjtBFt5Z5PfveMbG1wpj3BhzoQJfjDJB+lZ8AhXJcRN
z1dsOHcmxU2GR8CsTE6PVmUHNliHpA1Nkm75jt/Yhy14CIsmkv3NO7yfjAdq1EPdDPednE8ZT0Rh
g+f1oQfvbL3QsJ+8qiIm3SE8WUVHlFnC34UvrUebfPZwCd9pIwz4sPDjxJ2UBled/pxTJE7reOvZ
pmmiSo+r5lf9z1TeSz8th+d1jQnvjCTP57yOfltkd/6gnPCxtgf8ltbWfOHX6l1ak6182WPT/fb/
/436y1b+r/w6o91X+b6Kcbv91ML3qPLp1VIefDgq8e+88pT3djF4VCLQNmVnKg3ev+0XjwuD773a
zTjea1Pt0bSJh1NCo/KFP9lHPGybGTuY/jNe+Gf1/VLlfwAqq86F//aVlAAAAABJRU5ErkJggg==
)
D.
-
为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
为了求1+2+22+23+…+22008的值,可令S=1+2+22+23+…+22008,则2S=2+22+23+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1.仿照以上推理计算出1+5+52+53+…+52009的值是( )
A.52009-1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
D.
-
为了求1+2+22+23+…+22008+22009的值,可令S=1+2+22+23+…+22008+22009,则2S=2+22+23+24+…+22008+22009+22010,因此2S-S=22010+1,所以1+2+22+23+…+22008=22010+1.仿照以上推理计算出1+5+52+53+…52009的值是( )
A.52010+1
B.52010-1
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
D.
-
为了求1+2+22+23+…+22008的值,可令S=1=2+22+23+…+22008,则2S=2+22+23+24+…+22009,因此2S-S=22009-1,所以1+2+22+23+…+22008=22009-1仿照以上推理,计算1+5+52+53+…+52009的值.