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What is the next term of the arithmetic sequence?

-7,-5,-3,-1,1", "

What is the next term of the arithmetic sequence?\newline7,5,3,1,1-7,-5,-3,-1,1

Full solution

Q. What is the next term of the arithmetic sequence?\newline7,5,3,1,1-7,-5,-3,-1,1
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 7,5,3,1,1-7, -5, -3, -1, 1 appears to have a constant difference between consecutive terms, which suggests it is an arithmetic sequence.
  2. Determine common difference: Determine the common difference in the arithmetic sequence.\newlineTo find the common difference, subtract any term from the term that follows it. For example, 5(7)=2-5 - (-7) = 2.
  3. Verify common difference: Verify the common difference by checking other consecutive terms.\newlineFor instance, 3(5)=2-3 - (-5) = 2 and 1(3)=2-1 - (-3) = 2. This confirms that the common difference is indeed 22.
  4. Find next term in sequence: Find the next term in the sequence.\newlineTo find the next term, add the common difference to the last term in the sequence. So, 1+2=31 + 2 = 3.

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