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I have been working on this problem and want to know if i did it correctly? The question is give a recursive definition of the

I have been working on this problem and want to know if i did it correctly?

The question is give a recursive definition of the set of positive integers that end with the digit 7. So far i have,

X(N+7)=x(n+k)

Here, x(n+7) = x(n)+7

x(1) = 7

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