132k views
3 votes
Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.

User SatyaTNV
by
4.5k points

1 Answer

4 votes

9514 1404 393

Answer:

  • one possible pair of next terms: 0, 1
  • a second possible pair of next terms: 14, 32

Explanation:

The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.

The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.

Any pair of numbers can be used that is not (14, 20) or (32, 128).

The next two terms could be 0 and 1, or they could be 14 and 32.

2, 8, 0, 1 . . . is a sequence of no particular type

2, 8, 14, 32 . . . is a sequence of no particular type

User Iolo
by
5.1k points