Final answer:
To determine the nth term of an arithmetic sequence, find the common difference and use the formula T(n) = a + (n - 1)d, where T(n) is the nth term, a is the first term, n is the number of terms, and d is the common difference.
Step-by-step explanation:
To determine the nth term of an arithmetic sequence, you need to find the common difference (d) first. The common difference is the constant value that is added or subtracted between each term. In this case, we can find the common difference by subtracting the third term (-106) from the fifth term (-206). This gives us d = -206 - (-106) = -100.
Once we have the common difference, we can use the formula for the nth term of an arithmetic sequence, which is given by T(n) = a + (n - 1)d, where T(n) is the nth term, a is the first term, n is the number of terms, and d is the common difference.
In this case, the first term (a) is not given, so we cannot determine the exact value of the nth term. However, we can express the nth term in terms of the first term by replacing a with an unknown value. The nth term is then given by T(n) = a + (n - 1)(-100) = a - 100n + 100.