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Find the sum of the following series : ...

Find the sum of the following series : `0. 7+0. 77+0. 777+ ton` terms

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S `= 0.7 + 0.77 + 0.777 + ….0.7777… 20` times
`= 7(0.1+ 0.11 + 0.111.+….)`
`= (7/9)(0.9 + 0.99 + 0.999 + …)`
`= (7/9)[(1-0.1) + (1-0.01) + ….(1-000…1)`
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
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