.
You have two numbers at the ends, 12 and -16.
When you insert 3 arithmetic means between them, you will have 4 intervals/segments between -16 and 12.
The full length of the segment [-16,12] is 12 - (-16) = 12 + 16 = 28.
Hence, the length of each smallest interval/segment between the neighbor values will be
= 7.
So, your sequense is
-16, -16+7 = -9, -9+7 = -2, -2+7 = 5 and 5 +7 = 12.
Answer. The three arithmetic means to insert are -9, -2, and 5.
Solved.