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Mathematics

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It seems like there is a typo in the question. However, based on the given information, the common difference is correctly computed as , where is the next term and is a previous term.

To find the 15th term in this arithmetic sequence, we need to use the formula:

To find the 15th term in this arithmetic sequence, we need to use the formula:

where is the th term, is the first term, is the common difference, and is the number of terms.

We can plug in the given information to find the first term :

We can plug in the given information to find the first term

Simplifying, we get:

Now, we can use the formula to find the 15th term, where :

Simplifying, we get:

Therefore, the 15th term in this arithmetic sequence is .