To find the 20th term of an arithmetic sequence, we can use the formula:
an = a1 + (n - 1)d
where:
an is the nth term of the sequence,
a1 is the first term of the sequence,
n is the position of the term in the sequence,
and d is the common difference.
In this case, the first term (a1) is 3 and the common difference (d) is -4. We want to find the 20th term, so we substitute these values into the formula:
a20 = 3 + (20 - 1)(-4)
Simplifying the equation:
a20 = 3 + 19(-4)
a20 = 3 - 76
a20 = -73
Therefore, the 20th term of the arithmetic sequence is -73.