Final answer:
The 11th term of the arithmetic sequence 15, 23, 31, 39 can be calculated using the formula for the nth term of an arithmetic sequence. The 11th term, calculated using the formula Tn = a + (n - 1) × d, where d is the common difference and a is the first term, is found to be 95.
Step-by-step explanation:
The given sequence is 15, 23, 31, 39, which appears to be an arithmetic sequence. To calculate the 11th term of the sequence, we need to first determine the common difference and the first term. Then, we use the formula for the nth term of an arithmetic sequence, which is:
Tn = a + (n - 1)d
where Tn is the nth term, a is the first term, d is the common difference, and n is the term number. The common difference d is the difference between consecutive terms, which is 23 - 15 = 8. The first term a is 15.
Therefore, the nth term rule in this case is Tn = 15 + (n - 1) × 8. For the 11th term:
T11 = 15 + (11 - 1) × 8
T11 = 15 + 10 × 8
T11 = 15 + 80
T11 = 95
Therefore, the 11th term of the sequence is 95.