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Verified answer
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U₄ / U₂ = ar³ / ar3 / 27 = r²
1/9 = r²
r = √(1/9)
r = 1/3
U₂ = ar
27 = a (1/3)
a = 27 x 3
a = 81
U₈ = ar⁷
U₈ = 81 (1/3)⁷
U₈ = 81 (1/2187)
U₈ = 1/27