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Q 3.3 - Mathematics

Sum

Q 3.3

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Solution

0. 423 = 0.423232323232323.............. Upto infinity
= 0.4 + 0.023 + 0.00023 + 0.0000023 +............Upto infinity

`=4/10+23/1000+23/100000+23/10000000`..............Upto infinity

`=4/10+23/1000[1+1/100+1/10000+.............."Upto infinity"]`

`=4/10+23/1000[1/(1-1/100)]`        ........`[(1/100)/1=1/100]`

`=4/10+23/1000xx100/99`

`=4/10+23/990`

`=(396+23)/990`

`=419/990`

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