Let \( a_{1}, a_{2}, a_{3}, \ldots \) be a G.P. of increasing posit... VIDEO
Let \( a_{1}, a_{2}, a_{3}, \ldots \) be a G.P. of increasing positive numbers. Let the sum of its \( 6^{\text {th }} \) and \( 8^{\text {th }} \) terms be 2 and
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the product of its \( 3^{\text {rd }} \) and \( 5^{\text {th }} \) terms be \( \frac{1}{9} \). Then \( 6\left(a_{2}+a_{4}\right)\left(a_{4}+a_{6}\right) \) is equal to
(1) \( 2 \sqrt{2} \)
(2) 2
(3) \( 3 \sqrt{3} \)
(4) 3
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