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Find the common difference of the arithmetic sequence -9,-15,-21,dots Answer:

Find the common difference of the arithmetic sequence −9,−15,−21,… -9,-15,-21, \ldots \newlineAnswer:

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Full solution

Q. Find the common difference of the arithmetic sequence −9,−15,−21,… -9,-15,-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−15−(−9)=−15+9=−6-15 - (-9) = -15 + 9 = -6
  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 having a consistent common difference.\newline−21−(−15)=−21+15=−6-21 - (-15) = -21 + 15 = -6
  3. Check Second Term Difference: Both differences are the same, confirming that the sequence is arithmetic and the common difference is −6-6.

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