Let A1, A2, A3, ....... be an increasing geometric progression of positive real numbers. If A1A3A5A7 = ${1 \over {1296}}$ and A2 + A4 = ${7 \over {36}}$, then the value of A6 + A8 + A10 is equal to

Question

Let A₁, A₂, A₃, ....... be an increasing geometric progression of positive real numbers. If A₁A₃A₅A₇ = ${1 \over {1296}}$ and A₂ + A₄ = ${7 \over {36}}$, then the value of A₆ + A₈ + A₁₀ is equal to

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