Answer:Calculate the common difference:The difference between -16 and -8 is -8 - (-16) = 8.Since we want to insert three arithmetic means, we divide this difference by 4 (3 means + 1 original number + 1 original number = 5 total numbers): 8 / 4 = 2. This is our common difference.Add the common difference repeatedly:Start with -16 and add the common difference (2) three times: -16 + 2 = -14 -14 + 2 = -12 -12 + 2 = -10Therefore, the three arithmetic means inserted between -16 and -8 are -14, -12, and -10.