Can ten numbers be written in a row so that the sum of any five consecutive numbers is positive, and the sum of any seven consecutive numbers is negative?

#
From the condition, it follows that the sum of any two consecutive numbers (except, possibly, the fifth and sixth) must be negative.

## Solution

The condition of the problem is satisfied, for example, by the numbers 20, -30, 20, -30, 24, 24, -30, 20, -30, 20.