1.

Prove that the squares of the sequence 1, 3, 5,……..belongs to that sequence itself.

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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