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If (a^(n+1) + b^(n+1))/(a^n + b^n) is the arithmetic mean between 'a' and 'b', then, find the value of 'n'.
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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