A contest winner is given a choice of 2 prizes.

Prize 1:$1 today, $2 tomorrow, $4 on day 3 and so on, for 30 days. Each day the winner receives twice as much as the day before.

Prize 2: $1 today, $3 tomorrow, $9 on day 3, and so on, for 20 days. Each day the winner receives 3 times as much as the day before.
Which prize would you choose? Justify. Need the sum for each prize

1 answer

compare the sums of the two geometric sequences:

(2^30 - 1)/(2-1)
vs
(3^20 - 1)/(3-1)

There's a difference, but either one will set you up for life!!