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2. (i) Sum upto n terms the series 6 + 6...

2. (i) Sum upto n terms the series 6 + 66 + 666 +...

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`S=6+66+666+6666..........n terms`
`S=6(1+11+111.......n terms)`
`S=6/9(9+99+999.......n terms)`
`S=6/9((10-1)+(100-1)+(1000-1).......n terms)`
`S=6/9(10+100+1000......n terms.-(1+1+1+1....n terms)`
`S=6/9( (10((10)^n-1))/(10-1)-n)`
`S=6/9( (10((10)^n-1))/(9)-n)`
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