Final answer:
The nth term of the given arithmetic sequence 1, 4, 7 can be found using the formula an = 3n - 2, where n is the term number.
Step-by-step explanation:
The given sequence is 1, 4, 7, which appears to be an arithmetic sequence where each term increases by a common difference of 3. To find a general formula for the nth term of an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms.
Applying this to our sequence, the first term a1 is 1, and the common difference d is 3. Therefore, the formula for the nth term of the given sequence is:
an = 1 + (n - 1) × 3
Expanding this, we get:
an = 1 + 3n - 3
an = 3n - 2
This formula can now be used to find any term in the sequence by substituting the desired term number for n.