Why 1089?

Algebra Level 5

\(a = 1 + \frac{1}{3} + \frac{1}{3}.\frac{1}{2} + \frac{1}{3}.\frac{1}{2}.\frac{5}{9} + .......................\)

Find the value of \( \Big[\frac{1089}{a^{2}}\Big]\)

[. ] - G.I function

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