identify the sequence as arithmetic, geometric, or neither 3, 4.5,6,7.5
compare each term with the previous one.
Is there a common difference or ratio?
To identify whether a sequence is arithmetic, geometric, or neither, we need to examine the difference between successive terms.
In this sequence: 3, 4.5, 6, 7.5, let's calculate the differences between the terms:
4.5 - 3 = 1.5
6 - 4.5 = 1.5
7.5 - 6 = 1.5
Since the differences between all pairs of successive terms are the same (1.5 in this case), we can conclude that the sequence is an arithmetic sequence.
Arithmetic sequences have a common difference between terms. In this case, the common difference is 1.5.