The recursive formula for the arithmetic sequence -4, 3, 10, 17, ... is given by the first term a1 = -4 and the general formula an = an-1 + 7 for n > 1.
Step-by-step explanation:
The given arithmetic sequence is -4, 3, 10, 17, ... To find the recursive formula, we need to determine the common difference (d) which is the amount added to each term to get the next. By subtracting the first term from the second (3 - (-4)) we get a common difference of 7.
Therefore, the recursive formula for the arithmetic sequence is:
a1 = -4 (first term),
an = an-1 + 7 (for n > 1),
where an represents the nth term, and an-1 represents the prior term in the sequence.