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Find the common difference of the arithmetic sequence 1,7,13,dots Answer:

Find the common difference of the arithmetic sequence 1,7,13,… 1,7,13, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence 1,7,13,… 1,7,13, \ldots \newlineAnswer:
  1. Identify Pattern: Identify the pattern of the sequence.\newlineThe given sequence is 1,7,13,…1, 7, 13, \ldots, which suggests that it is an arithmetic sequence because it appears to increase by a constant amount each time.
  2. Calculate Difference: Calculate the common difference.\newlineTo find the common difference, subtract the first term from the second term.\newlineCommon difference =7−1=6= 7 - 1 = 6
  3. Verify Consistency: Verify the common difference with another pair of consecutive terms.\newlineSubtract the second term from the third term to ensure that the common difference is consistent.\newlineCommon difference = 13−7=613 - 7 = 6\newlineThis confirms that the common difference is indeed 66.

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