Final answer:
To find the 14th term of the sequence, add 8 to each term and apply the formula: nth term = first term + (n-1) * common difference. The 14th term is 119.
Step-by-step explanation:
To find the 14th term of the sequence: 15, 23, 31, 39, ..., we can observe that each term is obtained by adding 8 to the previous term. So, the difference between consecutive terms is always 8. Using this pattern, we can find the 14th term.
The first term is 15, and the common difference between terms is 8. To find the 14th term, we can use the formula:
nth term = first term + (n-1) * common difference
Plugging in the values, we get:
14th term = 15 + (14-1) * 8 = 15 + 13 * 8 = 15 + 104 = 119
Therefore, the 14th term of the sequence is 119.