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Find the common difference of the arithmetic sequence -13,-17,-21,dots Answer:

Find the common difference of the arithmetic sequence −13,−17,−21,… -13,-17,-21, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence −13,−17,−21,… -13,-17,-21, \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.\newline−17−(−13)=−17+13=−4-17 - (-13) = -17 + 13 = -4
  2. Subtract First Term: Now, let's check the difference between the second and the third term to ensure that the sequence is indeed arithmetic by having a consistent common difference.\newline−21−(−17)=−21+17=−4-21 - (-17) = -21 + 17 = -4
  3. Check Second Term Difference: Both differences are the same, confirming that the sequence is arithmetic and the common difference is −4-4.

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