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Question
Q 3.3
Sum
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`
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Geometric Progression - Finding Sum of Their First ‘N’ Terms
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