indentify the sequence as arithmetic, geometric, or neither.
3,4.5,6,7.5,...
a. arithmetic
b. geometric
c. neither
please help i don't know the answer
In an Arithmetic Sequence the difference between one term and the next is a constant, so :
3 - 4.5 = - 1.5
4.5 - 6 = - 1.5
6 - 7.5 = - 1.5
The difference is a constant, so :
a. arithmetic sequence
To determine whether the given sequence is arithmetic, geometric, or neither, we need to look for a common difference or a common ratio between the terms.
Let's examine the differences between consecutive terms:
4.5 - 3 = 1.5
6 - 4.5 = 1.5
7.5 - 6 = 1.5
Since the differences between consecutive terms are constant (1.5), we can conclude that the sequence has a common difference, making it an arithmetic sequence.
Therefore, the correct answer is a. arithmetic.