Final answer:
To determine the nth term of the given sequence (-5, -14, -23, -32, -41), we can use the formula nth term = a + (n - 1)d, where a is the first term, d is the common difference, and n is the position of the term we want to find. Substituting the values from the given sequence into the formula, we can simplify and find the expression for the nth term as -4 - 9n.
Step-by-step explanation:
The given sequence is -5, -14, -23, -32, -41. To determine the nth term of this sequence, we can observe that each term is obtained by subtracting 9 from the previous term. So, we can use the formula:
nth term = a + (n - 1)d
where a is the first term, d is the common difference, and n is the position of the term we want to find.
In this sequence, a = -5 and d = -9. Plugging these values into the formula, we get:
nth term = -5 + (n - 1)(-9)
Simplifying further, we have:
nth term = -5 - 9n + 9
Combining like terms, we get the final expression for the nth term:
nth term = -4 - 9n