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What is the next term of the arithmetic sequence?

1,-2,-5", "

What is the next term of the arithmetic sequence?\newline1,2,51, -2, -5,

Full solution

Q. What is the next term of the arithmetic sequence?\newline1,2,51, -2, -5,
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 11, 2-2, 5-5 appears to have a constant difference between its terms, which suggests it is an arithmetic sequence.
  2. Calculate common difference: Calculate the common difference of the sequence.\newlineTo find the common difference, subtract the first term from the second term: 21=3-2 - 1 = -3. Then, subtract the second term from the third term: 5(2)=5+2=3-5 - (-2) = -5 + 2 = -3. The common difference is 3-3.
  3. Determine next term: Determine the next term in the sequence.\newlineTo find the next term, add the common difference to the last term given in the sequence: 5+(3)=8-5 + (-3) = -8.

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