Advertisements
Advertisements
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`
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`
APPEARS IN
RELATED QUESTIONS
Find the next three terms of the following sequence.
8, 24, 72, …
Find the next three terms of the following sequence
`1/4, 2/9, 3/16, ...`
Find the first four terms of the sequence whose nth terms are given by an = n3 – 2
Find the first four terms of the sequence whose nth terms are given by an = (–1)n+1 n(n + 1)
Find the first four terms of the sequences whose nth terms are given by an = 2n2 – 6
Find the nth term of the following sequence
2, 5, 10, 17, ...
Find the nth term of the following sequence
`0, 1/2, 2/3, ...`
Find the nth term of the following sequence
3, 8, 13, 18, ...
If a1 = 1, a2 = 1 and an = 2an−1 + an−2, n ≥ 3, n ∈ N, then find the first six terms of the sequence
Given F1 = 1, F2 = 3 and Fn = Fn–1 + Fn–2 then F5 is
