Question 94
Mama snail and her child want to visit a neighbour who lives at distance $75$ cm. Every hour, they have planned to use $45$ minutes to move and $15$ minutes to rest. On the $n$-th hour, they move $\frac{1}{n^2+1}$ metres forward, but instead of resting, the child pulls them backwards by $\frac{1}{n+1}$ of this hour's distance. Will they ever reach the neighbour, and if so, when?