Final answer:
The nth term of the given arithmetic sequence is determined using the formula Tn = a + (n - 1)d, resulting in the nth term being 8n - 3.
Step-by-step explanation:
To determine the nth term of the sequence 5, 13, 21, 29, 37, we need to identify the pattern of the sequence. This sequence increases by 8 with each term, which implies it is an arithmetic sequence. The formula to find the nth term of an arithmetic sequence is Tn = a + (n - 1)d, where Tn is the nth term, a is the first term, n is the term number, and d is the common difference between the terms.
For the given sequence, the first term a = 5 and the common difference d = 8. Plugging these into the formula, we get:
Tn = 5 + (n - 1)×8 = 5 + 8n - 8 = 8n - 3
Therefore, the nth term of the sequence is 8n - 3.
The given sequence is an arithmetic sequence with a common difference of 8. To determine its nth term, we can use the formula:
nth term = first term + (n - 1) * common difference
For this sequence, the first term is 5 and the common difference is 8. Substituting these values into the formula, we get:
nth term = 5 + (n - 1) * 8
So, the nth term of the given sequence is 5 + 8n - 8, which simplifies to 8n - 3.