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A sequence is called Arithmetic if it has:

A. Addition
B. Common difference
C. Common ratio
D. None of these
Correct Answer: B. Common difference

The correct answer is Common difference because an arithmetic sequence progresses by adding or subtracting a fixed constant value between each consecutive term.

  • Step 1 (Definition): A sequence is arithmetic if the difference between any two consecutive terms remains constant. This constant value is known as the common difference.
  • Incorrect Options:
    • Addition is incorrect because addition is the operational process used to apply the common difference, not the defining characteristic of the sequence itself.
    • Common ratio is incorrect because a common ratio defines a geometric sequence, where each term is multiplied by a constant to get the next term.
    • None of these is incorrect because the second option is the precise mathematical definition.

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