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Prove that the squares of the sequence 1, 3, 5,……..belongs to that sequence itself. |
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Answer» Odd-numbered arithmetic sequence will be 1, 3, 5, … Here the arithmetic sequence have common difference 2. Their squares are also odd numbers. Therefore the squares of the sequence 1, 3, 5, … belongs to that sequence itself. nth term = 2n – 1. |
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