The given sequence is an arithmetic sequence
Step-by-step explanation:
Common difference is the difference between two consecutive terms of an arithmetic sequence.
We have to find the common difference to check if the sequence is arithmetic.
Common difference us denoted by d.
Given sequence is:
5a - 1, 3a - 1, a - 1, ...
Here,
[tex]a_1=5a-1\\a_2=3a-1\\a_3=a-1\\So,\\d=a_2-a_1\\=(3a-1)-(5a-1)\\=3a-1-5a+1\\=-2\\d=a_3-a_2\\=(a-1)-(3a-1)\\=a-1-3a+1\\=-2[/tex]
We can see that the common difference is same
The given sequence is an arithmetic sequence
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
- brainly.com/question/5102020
- brainly.com/question/5147732
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