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Example 3 - Write A = {1, 4, 9, 16, 25, ...} in set-builder

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Example 3 Write the set A = {1, 4, 9, 16, 25, . . . } in set-builder form. A = {1, 4, 9, 16, 25, . . . } A = {12, 22, 32, 42, 52, . . . } Here, 1, 2, 3, 4, 5 are all natural numbers and 1, 4, 9, 16, 25 are their squares Hence, we may write the set A as A = {x : x is the square of a natural number} or A = {x : x = n2, where n ∈ N}

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.