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Find the common difference of the arithmetic sequence -19,-26,-33,dots Answer:

Find the common difference of the arithmetic sequence −19,−26,−33,… -19,-26,-33, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence −19,−26,−33,… -19,-26,-33, \ldots \newlineAnswer:
  1. Identify Pattern: Identify the pattern in the arithmetic sequence.\newlineThe sequence given is −19-19, −26-26, −33-33, ...\newlineTo find the common difference, subtract the first term from the second term.\newlineCalculation: −26−(−19)=−26+19=−7-26 - (-19) = -26 + 19 = -7
  2. Find Common Difference: Verify the common difference by subtracting the second term from the third term.\newlineCalculation: −33−(−26)=−33+26=−7-33 - (-26) = -33 + 26 = -7\newlineCheck if the result is the same as the previous step.
  3. Verify Consistency: Conclude that the common difference is consistent throughout the sequence.\newlineSince both differences calculated are −7-7, the common difference of the sequence is −7-7.

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