Final answer:
The values of p, q, and r in the arithmetic progression 15, p, q, r, 43 are 22, 29, and 36, respectively.
Step-by-step explanation:
The given sequence is in arithmetic progression (AP).
Let's solve for the values of p, q, and r.
Given that 15, p, q, r, 43 are in an AP, we can find the common difference using the formula:
Common difference = (last term - first term) / (number of terms - 1)
Common difference = (43 - 15) / (5 - 1) = 7
p = 15 + 7 = 22
q = p + 7 = 22 + 7 = 29
r = q + 7 = 29 + 7 = 36
Therefore, the values of p, q, and r are 22, 29, and 36, respectively.