Final answer:
The nth term of the sequence 11, 19, 27, 35, 43 is 8n + 3, determined using the formula for the nth term of an arithmetic sequence.
Step-by-step explanation:
To determine the nth term of the sequence 11, 19, 27, 35, 43, we first observe that this is an arithmetic sequence because the difference between consecutive terms is constant. The common difference here is 8 (19 - 11 = 8, 27 - 19 = 8, and so on). An arithmetic sequence is defined by the nth term formula: an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.
In this case, a1 = 11 and d = 8. Therefore, the nth term is given by:
an = 11 + (n - 1)×8
Simplifying, we get:
an = 11 + 8n - 8
an = 8n + 3
So, the nth term of the given sequence is 8n + 3.