Math
posted by Anonymous .
Joan won a multimillion dollar lottery. She
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)

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