Answer:
The arithmetic means are - 10, - 15, and - 20.
Step-by-step explanation:
Let the arithmetic means are p, q, and r.
So, - 5, p, q, r, and -25 are in A.P
Therefore, the first term is - 5 and the 5th term is - 25.
If the common difference is d of the A.P., then
- 25 = - 5 + (5 - 1)d
⇒ 4d = - 20
⇒ d = - 5.
Therefore, p = - 5 - 5 = - 10.
q = - 10 - 5 = - 15 and
r = - 15 - 5 = - 20
Therefore, the arithmetic means are - 10, - 15, and - 20. (Answer)
