Question 18
If $S=\frac{10}{100}+\frac{200}{100^2}+\frac{3000}{100^3}+\frac{40000}{100^4}+\cdots+\frac{9000000000}{100^9}+\frac{100000000000}{100^{10}}$, what is $S+\frac1{10^9}$?
PIMSO Maths · PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round