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Question Number 18757 by 786786AM last updated on 29/Jul/17

$$\mathrm{If}{a}_1,a_2,a_3,a_4\mathrm{are}\mathrm{the}\mathrm{coefficient}\mathrm{of}\mathrm{any}$$$$\mathrm{four}\mathrm{four}\mathrm{consecutive}\mathrm{terms}\mathrm{in}\mathrm{the}\mathrm{expansion}$$$$\mathrm{of}{(1+x)}^n,\mathrm{then}\frac{a_1}{a_1+a_2}+\frac{a_3}{a_3+a_4}\mathrm{is}\mathrm{equal}\mathrm{to}$$

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