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Find the common difference of the arithmetic sequence 13,22,31,dots Answer:

Find the common difference of the arithmetic sequence 13,22,31,… 13,22,31, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence 13,22,31,… 13,22,31, \ldots \newlineAnswer:
  1. Find Common Difference: To find the common difference of an arithmetic sequence, we subtract any term from the term that follows it.\newlineLet's subtract the first term from the second term.\newline22−13=922 - 13 = 9
  2. Subtract First Term: Now, let's check if the common difference is consistent by subtracting the second term from the third term.\newline31−22=931 - 22 = 9
  3. Check Consistency: Since the difference between consecutive terms is the same, we have confirmed that the common difference of the sequence is 99.

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