In arithmetic sequences, the difference between consecutive terms remains constant. To find this difference, we can subtract the second term from the first, or the third term from the second, and so on. In this case, looking at the first two terms of the sequence which are: -(10/7) and -2, we subtract the second from the first to find the difference: (-2) - (-(10/7)) = -4/7.
Hence, we know that the difference, often referred to as the common difference, in this arithmetic sequence is -4/7. This means that every term in the sequence is obtained by subtracting 4/7 from the previous term.
Let's denote the first term as 'a', the common difference as 'd' and 'n' is the nth term of the sequence.
We have our first term 'a' which is -10/7 and the common difference 'd' which is -4/7.
Using the formula for the nth term of an arithmetic sequence, which is a + (n - 1) * d, we can create a general expression for any term in the sequence.
Replacing the variables 'a' and 'd' with their respective values, we obtain the following general expression for the nth term in the sequence: -10/7 + (n - 1) * -4/7.
Hence, the nth term of the arithmetic sequence requested can be calculated using this expression. This allows us to extrapolate beyond the sequence provided to find any term we wish. For instance, if we wish to find the 100th term, we can simply replace 'n' with 100 in our expression and calculate the result.