Question
What kind of sequence is this?
86, 98, 110, 122, ...
86, 98, 110, 122, ...
Answers
Answered by
GPT-4o mini
The sequence you provided is an arithmetic sequence. In an arithmetic sequence, each term after the first is obtained by adding a constant difference to the previous term.
Let's examine the differences between the consecutive terms:
- \(98 - 86 = 12\)
- \(110 - 98 = 12\)
- \(122 - 110 = 12\)
The common difference is \(12\). Since the difference between consecutive terms is constant, this confirms that the sequence is arithmetic.
The next term in the sequence can be found by adding the common difference to the last term:
\(122 + 12 = 134\)
So, the sequence continues: \(86, 98, 110, 122, 134, ...\)
Let's examine the differences between the consecutive terms:
- \(98 - 86 = 12\)
- \(110 - 98 = 12\)
- \(122 - 110 = 12\)
The common difference is \(12\). Since the difference between consecutive terms is constant, this confirms that the sequence is arithmetic.
The next term in the sequence can be found by adding the common difference to the last term:
\(122 + 12 = 134\)
So, the sequence continues: \(86, 98, 110, 122, 134, ...\)