Question

1) These are the first five terms in a Fibonacci sequence: 1 4 5 9 14. Write down the next two terms in the sequence.

a) 23, 37
b) 23, 42
c) 18, 33
d) 21, 35

Answer 1

The next two terms in the sequence following the provided pattern are 23 and 37, as each term is the sum of the two preceding terms.

Step-by-step explanation:

The sequence provided in the question is not a traditional Fibonacci sequence but follows a similar pattern where each term after the first two is the sum of the two preceding terms. To find the next terms in the sequence, we add the last two terms together. Starting with the sequence 1, 4, 5, 9, 14:

• 14 (fifth term) + 9 (fourth term) = 23 (sixth term)
• 23 (sixth term) + 14 (fifth term) = 37 (seventh term)

Therefore, the next two terms in the sequence are 23 and 37.