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What is the next term of the arithmetic sequence?

7,5,3,

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

Full solution

Q. What is the next term of the arithmetic sequence?\newline7,5,3,7, 5, 3,
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 7,5,37, 5, 3 appears to have a constant difference between 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 57=25 - 7 = -2.\newlineThe difference between the second and third terms is 35=23 - 5 = -2.\newlineThe common difference is 2-2.
  3. Calculate next term: Calculate the next term in the sequence.\newlineTo find the next term, add the common difference to the last known term.\newlineThe last known term is 33, so the next term is 3+(2)=13 + (-2) = 1.

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