What Is the Rule for the Sequence 5, 6, 7, 8? Understanding Arithmetic Progressions

Learn the rule for the sequence 5, 6, 7, 8 and how to apply the arithmetic progression formula for nth terms.

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The rule for the sequence 5, 6, 7, 8 is an arithmetic progression where each number increases by 1. The formula for the nth term in this sequence can be expressed as: a_n = a_1 + (n-1)d, where a_1 is the first term (5) and d is the common difference (1).

FAQs & Answers

  1. What is an arithmetic progression? An arithmetic progression is a sequence of numbers where each term after the first is obtained by adding a constant difference to the previous term.
  2. How do you find the nth term in an arithmetic sequence? The nth term of an arithmetic sequence is found using the formula a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.
  3. What is the common difference in the sequence 5, 6, 7, 8? The common difference for the sequence 5, 6, 7, 8 is 1, as each term increases by 1.

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