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Q 3.5 -

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प्रश्न

Q 3.5

बेरीज

उत्तर

0.027= 0.02777777777.............. Upto infinity

= 0.02 + 0.007 + 0.0007 + 0.00007 +............Upto infinity

`=2/100+7/1000+7/10000+7/100000`..............Upto infinity

`=2/100+7/1000[1+1/10+1/100+.............."Upto infinity"]`

`=2/100+7/1000[1/(1-1/10)]`        ........`[(1/10)/1=1/100]`

`=2/100+7/1000xx10/9`

`=2/10+7/900`

`=(18+7)/900`

`=25/900`

`=1/36`

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Geometric Progression - Finding Sum of Their First ‘N’ Terms
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