Hi again, I stumbled across the following question on spiral enlargement when looking at complex numbers.
A small snail starts at the origin of an Argand diagram and walks along the real axis for an hour, covering a distance of 8 metres. At the end of each hour it changes its direction by pi/2 anti clockwise; and in each hour it walks half as far as it did in the previous hour.
Find where it is
a) after 2 hours
b) after 4 hours
c) after 8 hours
d) eventually
I can work out the answers individually, but im struggling to find the general form. Is there even a general form? Thanks.