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Which of the following statements is true regarding an arithmetic progression?

Practice Questions

Q1
Which of the following statements is true regarding an arithmetic progression?
  1. The sum of any two terms is constant.
  2. The difference between consecutive terms is constant.
  3. The product of any two terms is constant.
  4. The ratio of any two terms is constant.

Questions & Step-by-Step Solutions

Which of the following statements is true regarding an arithmetic progression?
  • Step 1: Understand what an arithmetic progression (AP) is. An AP is a sequence of numbers where each term after the first is found by adding a constant difference to the previous term.
  • Step 2: Identify the constant difference in an AP. This difference is the same between any two consecutive terms in the sequence.
  • Step 3: Recognize that the defining property of an AP is that this difference remains constant throughout the sequence.
  • Step 4: Conclude that any statement claiming that the difference between consecutive terms is constant is true regarding an arithmetic progression.
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