Final answer:
To find the 55th term of the sequence, we use the arithmetic sequence formula with the common difference of 3. The calculation leads us to the 55th term being 139, which is option C.
Step-by-step explanation:
To find the 55th term in the arithmetic sequence -23, -20, -17, -14, we first need to determine the common difference between terms.
The common difference is found by subtracting two consecutive terms. In this case:
-20 - (-23) = 3
Now that we know the common difference is 3, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
Where:
- an is the nth term we want to find
- a1 is the first term in the sequence
- n is the term number
- d is the common difference
Plugging the values into the formula:
a_55 = -23 + (55 - 1)× 3
a_55 = -23 + 54× 3
a_55 = -23 + 162
a_55 = 139
Therefore, the 55th term in the sequence is 139, which corresponds to option C.