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If the 2nd term of a G P is frac 8 9 and the 6t... - JAMB Mathematics 2016 Question

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.
A
2
B
\(\frac{3}{2}\)
C
\(\frac{2}{3}\)
D
3
correct option: b

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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