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Question
Q 3.4
Sum
Solution
0. 762 = 0.762626262626262.............. Upto infinity
= 0.7 + 0.062 + 0.00062 + 0.0000062 +............Upto infinity
`=7/10+62/1000+62/100000+62/10000000`..............Upto infinity
`=7/10+62/1000[1+1/100+1/10000+.............."Upto infinity"]`
`=7/10+62/1000[1/(1-1/100)]` ........`[(1/100)/1=1/100]`
`=7/10+62/1000xx100/99`
`=7/10+62/990`
`=(693+62)/990`
`=755/990`
`=151/198`
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Geometric Progression - Finding Sum of Their First ‘N’ Terms
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