Final answer:
To find the value of q in the sequence with nth term 3n + q, we substitute the first term (n=1) into the nth term formula. Since the first term is 11, the calculation gives us q = 11 - 3, which results in q = 8.
Step-by-step explanation:
The problem presents a sequence with the nth term given by the expression 3n + q. To find the value of q, we are told that the first term in the sequence is 11. In sequences, the first term corresponds to n=1. So we substitute n=1 into the nth term formula to find q:
11 = 3(1) + q
11 = 3 + q
q = 11 - 3
q = 8
Therefore, the value of q is 8.