Final answer:
To find the 35th term in an arithmetic sequence, use the formula for the nth term of an arithmetic sequence. For the sequence -10, -14, -18, -22, with a common difference of -4, the 35th term is calculated to be -146.
Step-by-step explanation:
To find the 35th term in the arithmetic sequence given by -10, -14, -18, -22, ..., we first need to identify the common difference of the sequence. We do this by subtracting any term from the previous one. For instance, -14 - (-10) = -4. Therefore, the common difference is -4.
Next, we use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
Substituting the known values into the formula, we get:
an = -10 + (35 - 1)(-4)
a35 = -10 + (34)(-4)
a35 = -10 - 136
a35 = -146
Thus, the 35th term of the given arithmetic sequence is -146.