Which of the following is an arithmetic sequence?
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Answer:
B
Step-by-step explanation:
An arithmetic sequence there will be a constant difference between terms.
Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].
Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.
Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.
Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.
I hope this helps, ask me any question if you do not understand :)