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What is the next term of the arithmetic sequence?

10,13,16", "

What is the next term of the arithmetic sequence?\newline10,13,1610, 13, 16,

Full solution

Q. What is the next term of the arithmetic sequence?\newline10,13,1610, 13, 16,
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 10,13,1610, 13, 16 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.\newlineThe difference between the first two terms is 1310=313 - 10 = 3, and the difference between the second and third terms is 1613=316 - 13 = 3.\newlineCommon Difference: 33
  3. Calculate next term: Calculate the next term in the sequence.\newlineTo find the next term, add the common difference to the last given term.\newline16+3=1916 + 3 = 19

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