Ann arithmetic sequence has a common difference of zero. The thirty-eighth term of the sequence is 2.1. What is the eighty-fifth term of the sequence?(1 point) Responses 85.1 85.1 2.1 2.1 52.1 52.1 0
If the common difference of the arithmetic sequence is zero, then the sequence is constant, meaning all terms are the same. Therefore, both the thirty-eighth term and the eighty-fifth term will be 2.1.
So, the eighty-fifth term of the sequence is 2.1.
To solve this problem, let's start by understanding what an arithmetic sequence is. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
In this case, we are given that the common difference of the arithmetic sequence is zero. This means that all the terms in the sequence will be the same since the difference between any two consecutive terms is zero.
We are also given that the thirty-eighth term of the sequence is 2.1. Since the common difference is zero, we know that all the terms in the sequence will be 2.1.
Therefore, the eighty-fifth term of the sequence will also be 2.1. Thus, the correct answer is 2.1.