1. The problem asks to find the summation of the expression $3r+2$ as $r$ tends to 1. 2. Since the summation is not explicitly defined over a range, we interpret the problem as evaluating the expression at $r=1$. 3. Substitute $r=1$ into the expression: $$3(1) + 2 = 3 + 2 = 5$$ 4. Therefore, the value of the expression $3r+2$ when $r$ tends to 1 is 5.