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What is the next term of the arithmetic sequence?

-8,-14,-20", "

What is the next term of the arithmetic sequence?\newline8,14,20-8,-14,-20, \ldots

Full solution

Q. What is the next term of the arithmetic sequence?\newline8,14,20-8,-14,-20, \ldots
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 8-8, 14-14, 20-20 has a constant difference between terms, which indicates it is an arithmetic sequence.
  2. Determine common difference: Determine the common difference in the arithmetic sequence.\newlineThe difference between the first two terms is 14(8)=6-14 - (-8) = -6.
  3. Verify common difference: Verify the common difference by checking the difference between the next pair of terms.\newlineThe difference between the second and third terms is 20(14)=6-20 - (-14) = -6.\newlineThis confirms that the common difference is indeed 6-6.
  4. Find next term in sequence: Find the next term in the sequence by adding the common difference to the last term.\newlineThe next term is 20+(6)=26-20 + (-6) = -26.

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