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Find the common difference of the arithmetic sequence -17,-21,-25,dots Answer:

Find the common difference of the arithmetic sequence −17,−21,−25,… -17,-21,-25, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence −17,−21,−25,… -17,-21,-25, \ldots \newlineAnswer:
  1. Find Common Difference: To find the common difference in an arithmetic sequence, subtract any term from the term that follows it.\newlineCalculation: (−21)−(−17)=−21+17=−4(-21) - (-17) = -21 + 17 = -4.
  2. Check Consistency: To ensure the common difference is consistent, subtract the second term from the third term.\newlineCalculation: (−25)−(−21)=−25+21=−4(-25) - (-21) = -25 + 21 = -4.
  3. Confirm Common Difference: Since the difference between consecutive terms is the same, the common difference of the sequence is confirmed to be −4-4.

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