Final answer:
The tenth term of the arithmetic sequence with the first term -2 and common difference -6 is -56.
Step-by-step explanation:
To find the tenth term (a10) of an arithmetic sequence where the first term ay is –2 and the common difference d is –6, we will use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d. Here, a1 is the first term, which is –2, d is the common difference, which is –6, and n is the term number, which in this case is 10.
Substituting the known values into the formula gives us:
a10 = a1 + (10 - 1)d
a10 = –2 + (9)(–6)
a10 = –2 – 54
a10 = –56.
Therefore, the tenth term of the arithmetic sequence is –56.