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What is the next term of the arithmetic sequence?

-5,-1,3,7,11", "

What is the next term of the arithmetic sequence? \newline5,1,3,7,11-5,-1,3,7,11

Full solution

Q. What is the next term of the arithmetic sequence? \newline5,1,3,7,11-5,-1,3,7,11
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 5-5, 1-1, 33, 77, 1111 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, 1(5)=4-1 - (-5) = 4.
  3. Verify common difference: Verify the common difference by checking other consecutive terms.\newlineCheck another pair of consecutive terms to ensure the common difference is consistent: 3(1)=43 - (-1) = 4.
  4. Find next term in sequence: Find the next term in the sequence.\newlineAdd the common difference to the last term in the sequence: 11+4=1511 + 4 = 15.

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