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What is the next term of the arithmetic sequence?

1,3,5,7,9", "

What is the next term of the arithmetic sequence?\newline1,3,5,7,91, 3, 5, 7, 9,

Full solution

Q. What is the next term of the arithmetic sequence?\newline1,3,5,7,91, 3, 5, 7, 9,
  1. Identify the pattern: Identify the pattern in the sequence.\newlineThe sequence given is 1,3,5,7,91, 3, 5, 7, 9. We can observe that each term increases by 22.
  2. Determine if arithmetic: Determine if the sequence is arithmetic.\newlineSince each term increases by a constant amount, this is an arithmetic sequence.
  3. Calculate common difference: Calculate the common difference of the sequence.\newlineThe difference between consecutive terms is 31=23 - 1 = 2, 53=25 - 3 = 2, and so on.\newlineCommon Difference: 22
  4. Find next term: Find the next term in the sequence.\newlineThe last term given is 99. To find the next term, add the common difference to the last term: 9+2=119 + 2 = 11.

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