Chapter 9.3, Problem 44E

Solution

To identify: If the first two terms of an arithmetic sequence are positive, then

so is the third is also positive Is true or false.

If the first two terms of an arithmetic sequence are positive then

so is the third is also positive is False.

Given information:

The first two terms of an arithmetic sequence are positive.

Explanation:

The sequence $4,1,-\mathrm{2....}$ is an arithmetic sequence with the first two terms positive, but the third no positive, so the answer is false

Hence, False