Question 1

Let $$a_n$$ be the units place of $$1^2 + 2^2 + 3^2 + \ldots + n^2$$. Prove that the decimal $$0.a_1a_2a_3 \ldots a_n \ldots$$ is a rational number and represent it as $$\frac{p}{q}$$, where p and q are natural numbers.


Correct Answer: 0

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