## If each term in an infinite sequence is found by the equation $$S_x=8^x-6,$$ and $$S_1=2,$$ is every term in the sequenc

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### If each term in an infinite sequence is found by the equation $$S_x=8^x-6,$$ and $$S_1=2,$$ is every term in the sequenc

by Gmat_mission » Sun Jan 23, 2022 1:29 am

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If each term in an infinite sequence is found by the equation $$S_x=8^x-6,$$ and $$S_1=2,$$ is every term in the sequence divisible by $$y?$$

(1) $$y$$ is an even integer.

(2) At least $$2$$ of the first $$4$$ terms in the sequence are divisible by $$y.$$