Question

Find the value of 1+0.9/11+0.99/11^2+0.999/11^3

Answer 1

Answer:

Note that:

1+(0.9/11)+(0.99/112)+(0.999/113)...=1+1−0.111+1−0.01112+1−0.001113+⋯=(1+111+1112+⋯)−(0.111+0.01112+⋯)

Inside the brackets are the infinitely descending geometric progressions. Can you finish? The answer must be 11891090.