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What is the next term of the arithmetic sequence?

-2,-4,-6", "

What is the next term of the arithmetic sequence? \newline2,4,6-2, -4, -6, \ldots

Full solution

Q. What is the next term of the arithmetic sequence? \newline2,4,6-2, -4, -6, \ldots
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 2-2, 4-4, 6-6 shows a consistent difference between terms, indicating it is an arithmetic sequence.
  2. Determine common difference: Determine the common difference in the arithmetic sequence.\newlineThe difference between the first term (2)(-2) and the second term (4)(-4) is 4(2)=2-4 - (-2) = -2. The difference between the second term (4)(-4) and the third term (6)(-6) is 6(4)=2-6 - (-4) = -2. The common difference is 2-2.
  3. Calculate next term: Calculate the next term in the sequence.\newlineTo find the next term, add the common difference to the last term given in the sequence: 6+(2)=8-6 + (-2) = -8.

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