Identify when a sequence is arithmetic

When the ratio between any two can consecutive terms remains constant when the ratio between any two consecutive terms is changing when the difference between any two consecutive terms remains constant when the difference between any two consecutive terms is changing

1 answer

A sequence is identified as arithmetic when the difference between any two consecutive terms remains constant. In an arithmetic sequence, the difference \(d\) between successive terms (also known as the common difference) is the same throughout the sequence.

For example, in the sequence 2, 5, 8, 11, ... the difference between consecutive terms is always 3 (5 - 2 = 3, 8 - 5 = 3, and so on), making it an arithmetic sequence.

The other options you mentioned relate to geometric sequences or sequences that do not have consistent differences or ratios.