JEE Advanced 2019 Paper 1 Mathematics Q14

Mathematics

Problem

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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