Question 21

For some real numbers $$π‘š, 𝑛$$ and $$a$$ positive integer $$π‘Ž$$, the list $$(a+1)n^{2},m^{2},a(n+1)^{2}$$ consists of three consecutive integers written in increasing order. What is the largest possible value of $$m^{2}$$?


Correct Answer: 49

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