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Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d>0. If

Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d>0. If AP(1; 3) AP(2; 5) AP(3; 7) = AP (a; d) then a + d equals_

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