Q. 11 Find the sum of
2 + 22 +222 + .............. to n terms.
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let Sn= 2+ 22 + 222......to n
= 2(1+11+111.......to n)
= 2/9 ×(9+99+999........to n)
= 2/9 ×[(10-1)+(10^2 -1)+(10^3 -1) .......to n]
= 2/9 ×[10^n -1-9n]/9
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