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Find the common difference of the arithmetic sequence 10,17,24,dots Answer:

Find the common difference of the arithmetic sequence 10,17,24,… 10,17,24, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence 10,17,24,… 10,17,24, \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.\newline17−10=717 - 10 = 7
  2. Subtract First Term: Now, let's check the difference between the second and third terms to ensure that the sequence is indeed arithmetic by confirming the common difference is consistent. 24−17=724 - 17 = 7
  3. Confirm Consistent Difference: Both differences are equal, confirming that the common difference is 77 and that the sequence is arithmetic.

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