Final answer:
The nth term of the sequence -5, 0, 5, 10 is found through the arithmetic sequence formula. With a first term of -5 and a common difference of 5, the nth term is determined to be 5n - 10.
Step-by-step explanation:
To find the nth term of the sequence -5, 0, 5, 10, we first observe the pattern. The sequence is increasing by 5 each time, which means it is an arithmetic sequence. In an arithmetic sequence, the nth term can be found using 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 terms.
In this case, the first term a1 = -5 and the common difference d = 5. Plugging these values into the formula, we get:
an = -5 + (n - 1)×5
an = -5 + 5n - 5
an = 5n - 10
Therefore, the nth term of the sequence is 5n - 10.