Asked by Rose

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

Answers

Answered by Steve
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!!
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