Answer:
If this sequence is part of an arithmetic sequence, then its 128-th term would be 256.
Step-by-step explanation:
The two neighboring terms differ by a constant, 2. As a result, this sequence is likely an arithmetic sequence.
- The first term is equal to 2.
- The common difference (second term - first term) is equal to 2.
The formula for the general -th term of an arithmetic sequence with first term and common difference is:
.
In this case, that's equal to
.
Let that expression be equal to . Solve for :
(after dividing both sides by .)
Hence, if this sequence is part of an arithmetic sequence, then the 128-th term would be 256.