A calculus problem by megh choksi

Calculus Level 3

Let \[{a_{n}}\] be an A.P with common difference d , \[{b_{n}}\] be a G.P with common ratio q , where q is appositive rational number . If \[b_{1} = d\] \[b_{1} = d^{2}\] and \[\frac{\sum (a_{1})^{2}}{\sum b_{1}}\] is a positive integer ,then \[q = \frac{x}{y}\]

x + y=


This question is flagged because it is unclear what \(\frac{\sum (a_{1})^{2}}{\sum b_{1}}\) means. Supposedly, it should be indexed, as opposed to the sum of constants.

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