QUESTION $1 \quad[(3+4) +4+3+6=20$ marks $]$ (a) Consider the sequence defined by $a_{n}=\frac{3 n+4}{2 n+5}$ (for all positive integers $n$ that are greater than or equal to 1$)$. (i) Determine if the sequence is increasing, decreasing, or not monotonic, (ii) Is the sequence bounded? (b) If possible, evaluate the sum of the series $$ \sum_{j=1}^{\infty} \frac{2}{j(j+1)} $$ CS.VS. 17411