Which of the following is an arithmetic sequence?Select one:a. 16, 8, 4, 2, …b. 3, 10, 17, 24, …c. 13, 26, 52, 104, …d. 5, 2.5, 1.25, 0.625, …
Question
Which of the following is an arithmetic sequence?
Select one:
- a. 16, 8, 4, 2, …
- b. 3, 10, 17, 24, …
- c. 13, 26, 52, 104, …
- d. 5, 2.5, 1.25, 0.625, …
Solution
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is always the same. This difference is called the common difference.
Let's check each option:
a. 16, 8, 4, 2, … The differences here are -8, -4, -2, which are not the same. So, this is not an arithmetic sequence.
b. 3, 10, 17, 24, … The differences here are 7, 7, 7, which are the same. So, this is an arithmetic sequence.
c. 13, 26, 52, 104, … The differences here are 13, 26, 52, which are not the same. So, this is not an arithmetic sequence.
d. 5, 2.5, 1.25, 0.625, … The differences here are -2.5, -1.25, -0.625, which are not the same. So, this is not an arithmetic sequence.
So, the answer is option b. 3, 10, 17, 24, … is an arithmetic sequence.
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