Advertisements
Advertisements
Question
Given F1 = 1, F2 = 3 and Fn = Fn–1 + Fn–2 then F5 is
Options
3
5
8
11
Solution
11
Explanation;
F1 = 1, F2 = 3
Fn = Fn–1 + Fn–2
F5 = F5–1 + F5–2 = F4 + F3
= F3 + F2 + F2 + F1
= F2 + F1 + F2 + F2 + F1
= 3 + 1 + 3 + 3 + 1 = 11
APPEARS IN
RELATED QUESTIONS
Find the next three terms of the following sequence.
5, 1, – 3, …
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 = (–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, ...
Find the indicated terms of the sequences whose nth terms are given by
an = – (n2 – 4); a4 and a11
If a1 = 1, a2 = 1 and an = 2an−1 + an−2, n ≥ 3, n ∈ N, then find the first six terms of the sequence
The next term of the sequence `3/16, 1/8, 1/12, 1/18, ...` is