A sequence is generated where is term is equal to the sum of to preceding terms. If the first 2 terms are 1 and 2, what is the fifth term?
Please explain the logic.
If I understand your garbled question, then the third term is 3. The fourth term is 6, and the fifth term is 12.
The sequence is
1,2,3,5,8,13,21,...
You already explained the logic. Each term is the sum of the two preceding terms.
Oops -- I misinterpreted "to." Steve is right.
The problem describes a sequence where each term is the sum of the two preceding terms. This type of sequence is known as the Fibonacci sequence.
To find the fifth term of this sequence, we can apply the formula:
F(n) = F(n-1) + F(n-2),
where F(n) represents the nth term in the sequence, F(n-1) represents the (n-1)th term, and F(n-2) represents the (n-2)th term.
Given that the first two terms are 1 and 2 (F(1) = 1, F(2) = 2), we can use the formula to find the subsequent terms.
Using the given terms:
F(1) = 1
F(2) = 2
We can calculate the next terms using the formula:
F(3) = F(2) + F(1) = 2 + 1 = 3
F(4) = F(3) + F(2) = 3 + 2 = 5
F(5) = F(4) + F(3) = 5 + 3 = 8
Therefore, the fifth term of the sequence is 8.