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Question Number 194406 by Safojon last updated on 05/Jul/23

Answered by BaliramKumar last updated on 05/Jul/23

$$\mathrm{i}\mathrm{find}{2007}^{\mathrm{th}}\mathrm{digit}=5$$

Commented by Safojon last updated on 05/Jul/23

$$provethetsirpleas.$$

Answered by mr W last updated on 08/Jul/23

$$1...9\Rightarrow 9\times 1=9$$$$10...99\Rightarrow 90\times 2=180\Rightarrow 9+180=189$$$$100...999\Rightarrow 900\times 3=2700\Rightarrow 2700+189=2889>2007$$$$2007-189=1818$$$$1818/3=606$$$$99+606=705$$$$\Rightarrow the{2007}^{th}digitis5.$$$$123...704705706...2007$$$$\uparrow the{2007}^{th}digit$$

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