You can
put this solution on YOUR website!The squares have 1, then 2, then 4, then 8 .....then 2^63 pennies.
The 32nd square will have 2^31 pennies.
2^31=$21,474,836.48 on it.
Cheers,
Stan H.
You can
put this solution on YOUR website!This is a variation an old story.
By placing 1 penny on the first square, two pennies on the second square, three pennies on the third square, etc, Farmer Brown is creating a geometric sequence in which each term can be represented by: (an) where n = the ordinal number of the term. So, a(1) is the first term, a(2) is the second term, etc.
The nth term of such a sequence is given by:
where a(1) is the first term and (r) is the common ratio and is found by
.
In this problem, r = 2 and a(1) = 1 (penny)
The 32nd term would be
=
and, since this is the number of pennies, this would amount to $21,474,836.48
Note: a(1) means... a sub 1
(