Mathematics
Grade10
Easy

Question

Which of the following is not an arithmetic sequence?

  1. 9, 2, - 5, - 12, …    
  2. 4, 9, 14, 19, …    
  3. 17, 5, 36, 25, …    
  4. 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.

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