An 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 0 52.1 2.1
If the common difference of the arithmetic sequence is zero, then all the terms of the sequence will be equal. Therefore, the eighty-fifth term of the sequence will also be 2.1.
So, the answer is 2.1.
If the common difference of the arithmetic sequence is zero, it means that every term of the sequence is the same.
Given that the thirty-eighth term of the sequence is 2.1, we can conclude that all the terms of the sequence are 2.1.
Therefore, the eighty-fifth term of the sequence is also 2.1.
So, the correct answer is 2.1.
An arithmetic sequence is a sequence of numbers where each term is obtained by adding a constant difference to the previous term. In this case, you mentioned that the common difference is zero. This means that each term of the sequence is the same.
Since the common difference is zero, the value of the first term will also be the value of the remaining terms. You mentioned that the 38th term of the sequence is 2.1. Since all the terms are the same, we can conclude that the 38th term is the value of each term.
Therefore, the 85th term of the sequence will also be 2.1. Hence, the correct option is to choose 2.1 as the answer.