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What is the next term of the arithmetic sequence?

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What is the next term of the arithmetic sequence? \newline1,0,1-1, 0, 1,

Full solution

Q. What is the next term of the arithmetic sequence? \newline1,0,1-1, 0, 1,
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence given is 1-1, 00, 11. We need to determine if it is arithmetic or geometric. Since the difference between consecutive terms is constant, the sequence is arithmetic.
  2. Find common difference: Find the common difference in the arithmetic sequence.\newlineTo find the common difference, subtract the first term from the second term: 0(1)=0+1=10 - (-1) = 0 + 1 = 1. Then, subtract the second term from the third term: 10=11 - 0 = 1. The common difference is 11.
  3. Calculate next term: Calculate the next term in the sequence.\newlineTo find the next term, add the common difference to the last term given in the sequence: 1+1=21 + 1 = 2. The next term in the sequence is 22.

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