Final answer:
To find the 7th term of the arithmetic sequence -26, -19, -12, we can use the formula for the nth term of an arithmetic sequence.
Step-by-step explanation:
The given arithmetic sequence is -26, -19, -12. To find the 7th term of this arithmetic sequence, we need to determine the common difference. The common difference is the constant value added to each term to get the next term. In this case, the common difference is 7 (subtracting -26 from -19 gives 7, and subtracting -19 from -12 also gives 7).
Now, we can use the formula for the nth term of an arithmetic sequence: nth term = first term + (n-1) * common difference. Plugging in the values, we have: 7th term = -26 + (7 - 1) * 7 = -26 + 6 * 7 = -26 + 42 = 16.
Therefore, the 7th term of the arithmetic sequence -26, -19, -12 is 16.