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What is the next term of the arithmetic sequence?

-2,3,8,13,18", "

What is the next term of the arithmetic sequence?\newline2,3,8,13,18-2, 3, 8, 13, 18

Full solution

Q. What is the next term of the arithmetic sequence?\newline2,3,8,13,18-2, 3, 8, 13, 18
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 2-2, 33, 88, 1313, 1818 appears to have a constant difference between each term, 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: 3(2)=3+2=53 - (-2) = 3 + 2 = 5.\newlineCheck this difference with other consecutive terms to ensure it is consistent: 83=58 - 3 = 5 and 138=513 - 8 = 5.\newlineThe common difference is 55.
  3. Determine next term: Determine the next term in the sequence.\newlineTo find the next term, add the common difference to the last term in the sequence: 18+5=2318 + 5 = 23.

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