If the 2nd term of a G.P is (frac{8}{9}) and the 6th term is 4(frac{1}{2})….

If the 2nd term of a G.P is (frac{8}{9}) and the 6th term is 4(frac{1}{2}). Find the common ratio.

Correct Answer: Option B

Explanation

T₂ = (frac{8}{9}), T₆ = 4(frac{1}{2})
ar = (frac{8}{9})
ar⁵ = (frac{9}{2})
(frac{ar}{ar^5}) = (frac{8}{9}) x (frac{2}{9})
(frac{1}{r^4}) = (frac{16}{81})
r = (sqrt[4]{18/16}) = (frac{3}{2})

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