The given sequence is an arithmetic sequence with a common difference of 6. To find the nth term of this sequence, we can use the following formula:
nth term = first term + (n - 1) x common difference
where n is the position of the term we want to find.
In this sequence, the first term is 1 and the common difference is 6. Substituting these values into the formula, we get:
nth term = 1 + (n - 1) x 6
nth term = 1 + 6n - 6
nth term = 6n - 5
Therefore, the nth term of the sequence 1, 7, 13, 19 is given by the formula 6n - 5.
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