Answer:
14 and 23
Explanation:
To find two arithmetic means between 5 and 23, we need to first find the common difference between consecutive terms.
The common difference (d) between consecutive terms in an arithmetic sequence can be found using the formula:
d = (an - a1) / (n - 1)
where a1 is the first term, an is the last term, and n is the number of terms.
In this case, a1 = 5, an = 23, and n = 3 (since we want to find two means, there will be a total of 4 terms in the sequence). Plugging these values into the formula, we get:
d = (23 - 5) / (3 - 1) = 9
So the common difference between consecutive terms is 9. To find the first mean, we add the common difference to the first term:
First mean = 5 + 9 = 14
To find the second mean, we add the common difference to the first mean:
Second mean = 14 + 9 = 23
Therefore, the two arithmetic means between 5 and 23 are 14 and 23.