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a) is answer
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4(1+11+111.........)
=4/9(9+99+999......)
=4/9[(10-1)+(100-1)+(1000-1)+.........】
=4/9[(10-1)+(10^2-1)+(10^3-1)+.........]
=4/9[10+10^2+10^3+........n terms -n ]
=4/9[10(10^n -1)/10-1) - n]
=4/9[10(10^n-1)/9 -n ]
option no a
=4/9(9+99+999......)
=4/9[(10-1)+(100-1)+(1000-1)+.........】
=4/9[(10-1)+(10^2-1)+(10^3-1)+.........]
=4/9[10+10^2+10^3+........n terms -n ]
=4/9[10(10^n -1)/10-1) - n]
=4/9[10(10^n-1)/9 -n ]
option no a
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