Final answer:
The series 3/7 - 4/8 + 5/9 - 6/10 + 7/11 - ... is absolutely convergent.
Step-by-step explanation:
To determine whether the series 3/7 - 4/8 + 5/9 - 6/10 + 7/11 - ... is absolutely convergent, conditionally convergent, or divergent, we need to analyze the convergence of its terms. Each term in the series can be written as (-1)^(n+1) * (n+2)/(2n+5), where n is the position of the term starting from 1.
By taking the limit as n approaches infinity, we can see that the absolute value of the terms converges to 0. This means that the series is absolutely convergent.