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Question Number 1956 by 123456 last updated on 26/Oct/15

x_(n+1) =y_n −1  y_(n+1) =x_n +1  x_0 =1,y_0 =1  x_(10) +y_(10) =?

$${x}_{{n}+\mathrm{1}} ={y}_{{n}} −\mathrm{1} \\ $$$${y}_{{n}+\mathrm{1}} ={x}_{{n}} +\mathrm{1} \\ $$$${x}_{\mathrm{0}} =\mathrm{1},{y}_{\mathrm{0}} =\mathrm{1} \\ $$$${x}_{\mathrm{10}} +{y}_{\mathrm{10}} =? \\ $$

Answered by prakash jain last updated on 26/Oct/15

x_(n+1) +y_(n+1) =x_n +y_n   x_0 +y_0 =2  x_(10) +y_(10) =2

$${x}_{{n}+\mathrm{1}} +{y}_{{n}+\mathrm{1}} ={x}_{{n}} +{y}_{{n}} \\ $$$${x}_{\mathrm{0}} +{y}_{\mathrm{0}} =\mathrm{2} \\ $$$${x}_{\mathrm{10}} +{y}_{\mathrm{10}} =\mathrm{2} \\ $$

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