Joan won a multi-million dollar lottery. She

Question

decides to give $1 000 000 of her winnings
to charity. Her plan is to give 1/2 , or 2�^-1
, to
charity in January, and then give half of the
remaining amount in February, half again in
March, and so on.
a) What fraction remains after 6 months?

Can this be put in the following formula to be solved?
=inital amount*(1/2)^(t/h)

Answer 1

1/2 + 1/4 + ... + 1/2^n = 1 - 1/2^n
so, after n months, 1/2^n is left

after 6 months, 1/64 is left