Final answer:
The next two terms in the Fibonacci-type sequence provided are 36 and 58, which are found by adding the last two terms of the sequence respectively.
Step-by-step explanation:
The given sequence is a Fibonacci-type sequence where each term after the first two is the sum of the two preceding terms. In this sequence, the next term is obtained by adding the last two terms together.
- 2 (first term)
- 6 (second term)
- 8 = 2 + 6 (third term)
- 14 = 6 + 8 (fourth term)
- 22 = 8 + 14 (fifth term)
To find the next two terms in the sequence, you simply continue this pattern:
- 22 + 14 = 36 (the next term)
- 36 + 22 = 58 (the term after that)
Therefore, the next two terms in the sequence are 36 and 58.