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Question
Q 3.2
Sum
Solution
0. 52 = 0.5222222222222.............. Upto infinity
= 0.5 + 0.02 + 0.002 + 0.0002 +............Upto infinity
`=5/10+2/100+2/1000+2/10000`..............Upto infinity
`=5/10+2/100[1+1/10+1/100+.............."Upto infinity"]`
`=5/10+2/100[1/(1-1/10)]` ........`[(1/10)/1=1/10]`
`=5/10+2/100xx10/9`
`=5/10+1/45`
`=(45+2)/90`
`=47/90`
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Geometric Progression - Finding Sum of Their First ‘N’ Terms
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