An old man had a bag of rice on the first day, each day afterwards he would get triple of what he got before, but every 5 days he would receive no bags of rice. How many bags of rice would the old man have after 45 days?
89?
no -_-
S = (first term)(1-r^n)/(1-r) is your formula, but you must remember 9 of those days he did not receive any rice.
brb as I go look at wios post
Lol batman xD
:P
more rice than we can fit in the USA
LOL you shouldve seen wio's question lmao
like 18 quintillion pounds of rice or something
so put * 4/5 in there somewhere
you ever verify the 6*12 piece of paper origami crease project?
I haven't.
|dw:1381703107566:dw|
3^(666)+1=the answer, i couldn't calculate it cuz it shows overflow for the calculator
@wio
The accumulative amount, or just the amount received on day 45?
We have \[ a_n = a_1r^{n-1}=1\times 3^{n-1}=3^{n-1} \]
Where \(d\) is the number of days, we can calculate \(n\) to be: \[ n=d-\left\lfloor \frac d5 \right\rfloor \]
so if \(d=45\) then \[ n=45-\left\lfloor \frac {45}5 \right\rfloor=45-\left\lfloor 9 \right\rfloor=36 \]
The sum,
My bad I should've put that in the question
So the number of bags received on that day is: \[ a_{36}=3^{36-1}=50031545098999707\approx 5.00\times 10^{16} \]The accumulated bags would be: \[ S_n = a\frac{1-r^n}{1-r}=(1)\frac{1-(3)^{36}}{1-(3)}=75047317648499560\approx 7.50\times 10^{16} \]
WIO YOU HAVE 99 SS CONGRATS ! :O
part B of the question. If each bag of rice was 20" long by 12" wide with a volume of 7 gallons, how high could you stack the bags end to end from california to new york if the distance was 3250 miles?
LOL
231cubic inches per gallon
63360 inches in a mile..
if you stacked the bags it would go beyond the earth and into space
space begins at 62 miles of altitude o.o
bag height = 6.7375" thick, (on an engineers drafting board, we wont count sag)
consider: we dont know how much rice is in each of those 5.00×10^16 bags, but the number of bags is = to about 1/2 the # of atoms in the universe
Join our real-time social learning platform and learn together with your friends!