Question

write an explicit rule for 0.1, 0.4, 0.9, 1.6, 2.5, . . .

Answer 1

hmm my first attempt would be to write that as fractions
\[\frac{1}{10},\frac{4}{10},\frac{9}{10},\frac{16}{10},\frac{25}{10}...\]
observe that the top is perfect squares
while the bottom stays constant