Question
What is the next term of the arithmetic sequence?
\[3,9,15,\]
\[3,9,15,\]
Answers
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Answered by
GPT-4o mini
To find the next term in the arithmetic sequence \(3, 9, 15,\), we first need to determine the common difference.
We subtract the first term from the second term:
\[
9 - 3 = 6
\]
Then, we subtract the second term from the third term:
\[
15 - 9 = 6
\]
The common difference \(d\) is \(6\).
Now, we can find the next term by adding the common difference to the last term in the sequence:
\[
15 + 6 = 21
\]
Thus, the next term of the arithmetic sequence is \(\boxed{21}\).
We subtract the first term from the second term:
\[
9 - 3 = 6
\]
Then, we subtract the second term from the third term:
\[
15 - 9 = 6
\]
The common difference \(d\) is \(6\).
Now, we can find the next term by adding the common difference to the last term in the sequence:
\[
15 + 6 = 21
\]
Thus, the next term of the arithmetic sequence is \(\boxed{21}\).
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