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
85.1
2.1
2.1
52.1
52.1
0
The common difference of the arithmetic sequence is zero. This means that each term of the sequence is the same. Since the thirty-eighth term 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
In an arithmetic sequence, the common difference between consecutive terms is constant. In this case, the common difference is given as zero. This means that every term in the sequence is the same.
Given that the thirty-eighth term of the sequence is 2.1, we can conclude that every term in the sequence is 2.1.
Therefore, the eighty-fifth term of the sequence is also 2.1.
The correct answer is 2.1.
To find the eighty-fifth term of an arithmetic sequence with a common difference of zero, we know that the sequence will be constant. In this case, the constant value is given as 2.1 for the thirty-eighth term.
Since the sequence is constant, all the terms of the sequence will be equal to 2.1. Therefore, the eighty-fifth term will also be equal to 2.1.
So the correct answer is 2.1.