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Question

The sum of 0.2+0.004+0.00006+0.0000008+... to is

A
200891
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B
20009801
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C
10009801
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D
none of these
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Solution

The correct option is B 20009801
Sn=210+4103+6105+...
Sn2=110+2103+3105+...

Sn200=1103+2105+3107+...
Sn2Sn200=110+1103+1105+1107+...
99Sn200=11011100
99Sn200=1099
Sn=20009801

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