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Question
Q 4
Sum
Solution
Required sum = `2/5+3/5^2+2/5^3+3/5^4+2/5^5+3/5^6+...............`
`=(2/5+2/5^3+2/5^5+........)+(3/5^2+3/5^4+3/5^6+........)`
`=2/5(1+1/5^2+1/5^4+........)+3/5^2(1+1/5^2+1/5^4+........)`
`=2/5[1/(1-1/25)]+3/25[1/(1-1/25)]`
`=2/5xx25/24+3/25xx25/24`
`=5/12+1/8`
`=(10+3)/24`
`=13/24`
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Geometric Progression - Finding Sum of Their First ‘N’ Terms
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