Question
What kind of sequence is this?
29, 40, 51, 62, ...
29, 40, 51, 62, ...
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.
To identify the common difference in your sequence:
- From 29 to 40, the difference is \(40 - 29 = 11\).
- From 40 to 51, the difference is \(51 - 40 = 11\).
- From 51 to 62, the difference is \(62 - 51 = 11\).
Since the difference between consecutive terms is consistently 11, this sequence is indeed arithmetic with a common difference of 11.
The next term in the sequence can be found by adding 11 to the last term (62):
\[ 62 + 11 = 73 \]
So, the next term would be 73.
To identify the common difference in your sequence:
- From 29 to 40, the difference is \(40 - 29 = 11\).
- From 40 to 51, the difference is \(51 - 40 = 11\).
- From 51 to 62, the difference is \(62 - 51 = 11\).
Since the difference between consecutive terms is consistently 11, this sequence is indeed arithmetic with a common difference of 11.
The next term in the sequence can be found by adding 11 to the last term (62):
\[ 62 + 11 = 73 \]
So, the next term would be 73.