Question

Write the set $\left\{\frac{1}{2},\frac{2}{5},\frac{3}{10},\frac{4}{17},\frac{5}{26},\frac{6}{37},\frac{7}{50}\right\}$ in the set-builder form.

Answer 1

The set-builder form of the set $\left\{\frac{1}{2},\frac{2}{5},\frac{3}{10},\frac{4}{17},\frac{5}{26},\frac{6}{37},\frac{7}{50}\right\}$ is $\left\{\frac{n}{n^2+1}:n\in N,n\le 7\right\}$.