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Find the sum of the following series to ...

Find the sum of the following series to infinity: `1-1/3+1/(3^2)-1/(3^3)+1/(3^4)+oo`

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Given, `1-1/3+1/(3^2)-1/(3^3)+1/(3^4)+oo`

`S_(o o)=(a)/(1-r)`
`a=1/3, r=-1/3`
`S_(o o)=(1/3)/(1+1/3)`
`S_(o o)=(1/3)/(4/3)`
`S_(o o)=(1)/(4)`
`S_1=1-S_(o o)=1-1/4`
`S_1=3/4`

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