Mathematics - Sequence & Series Question with Solution | TestHub

The reciprocal A.P. has nth term n/[pq(p+q)]. Thus $T_k=\mathrm{pq}(\mathrm{p}+\mathrm{q})/\mathrm{k}$. The first two equalities follow; pq>p+q for distinct integers $\mathrm{p},\mathrm{q}>1$ (the smallest pair 2,3 gives $6>5$ ).