In a geometric sequence, the ratio between two terms is called r. So x2/x1=r, x5/x4=r, etc. Then x7/x6= x8/x7, which means x7 is the geometric mean for x6 and x8 X7/6= 216/x7. Now cross multiply (X7)^2 = 6(216) (x7)^2 = 1296 X7= sqr(1296) = 36 Hoping this helps!

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