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A tent house owner provides furniture on rent. He stacks chairs in his shop to save space. In the diagram, the height of seat of chair from ground is represented by h₁, h₂, h₃, .... . The height of first seat is 44 cm from ground level and gap between every two seats is 10 cm.
The nth term of a sequence is given by aₙ = n(n + 1)(2n + 1)/6. Write the first three terms of the sequence. Does this sequence form an A.P. ? Justify your answer.
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