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Mathematics
Grade10
Easy
Question
Which of the following is not an arithmetic sequence?
9, 2, - 5, - 12, …
4, 9, 14, 19, …
17, 5, 36, 25, …
1, 3, 5, 7, …
Hint:
There must be a common difference between the consecutive terms to be an arithmetic sequence.
The correct answer is: 17, 5, 36, 25, …
A sequence in which the common difference between two consecutive terms is constant is called an arithmetic sequence. The common difference between the consecutive terms of the sequence 9, 2, -5, -12, … is -7. The common difference between the consecutive terms of the sequence 4, 9, 14, 19, … is 5. The common difference between the consecutive terms of the sequence 17, 5, 36, 25, … is not constant. The common difference between the consecutive terms of the sequence 1, 3, 5, 7, … is 2. So, the sequence 17, 5, 36, 25, … is not an arithmetic sequence.