Advertisements
Advertisements
Question
Given F1 = 1, F2 = 3 and Fn = Fn–1 + Fn–2 then F5 is
Options
3
5
8
11
Advertisements
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.
8, 24, 72, …
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 = 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
`0, 1/2, 2/3, ...`
Find the indicated terms of the sequences whose nth terms are given by
an = `(5"n")/("n" + 2)`; a6 and a13
Find a8 and a15 whose nth term is an = `{{:(("n"^2 - 1)/("n" + 3)";", "n is even""," "n ∈ N"),(("n"^2)/(2"n" + 1)";", "n is odd""," "n ∈ N"):}`
The next term of the sequence `3/16, 1/8, 1/12, 1/18, ...` is
