Answer :
Final answer:
The correct arithmetic sequence with three arithmetic means between 155 and 215 is found by calculating the common difference and is 155, 170, 185, 200, 215. Therefore, the correct answer is: d. 155, 170, 185, 200, 215.
Explanation:
To write an arithmetic sequence with three arithmetic means between 155 and 215, we must find the common difference and ensure that the sequence progresses by this difference between each term. In an arithmetic sequence, the common difference (d) is consistent between consecutive terms, calculated as:
d = (last term - first term) / (number of terms - 1).
Given the terms 155 and 215, and wanting three arithmetic means between, there are a total of 5 terms. Therefore:
d = (215 - 155) / (5 - 1) = 60 / 4 = 15.
Starting at 155 and adding 15 each time, we obtain the sequence:
155, 170, 185, 200, 215.
Therefore, the correct answer is:
d. 155, 170, 185, 200, 215.
