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Question
The next term of the sequence `3/16, 1/8, 1/12, 1/18, ...` is
Options
`1/24`
`1/27`
`2/3`
`1/81`
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Solution
`1/27`
Explanation;
Hint: `3/16, 1/8, 1/12, 1/18, ...`
r = `(1/8)/(3/16) = 1/8 xx 16/3 = 2/3`
r = `(1/12)/(1/8) = 1/12 xx 8/1 = 2/3`
∴ The next term is `1/18 xx 2/3 = 2/54 = 1/27`
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