Originally posted by blindcheesecake
If on day 1 you got 1c then 2c on day 2 and 4c on day 3 and 16c on day 4 and so on, How much money would you have after 8 years 3 months and 12 days, if you were born on June 8 1124. Be shure to include leap years.
ok i'm getting tired of the fumbling around
june 8 1124 : june 8 1132
8 years = 8*365 + 2(leap days) = 2922
june 8 1132 : july 8: 1132
30 days
july 8 '32 : aug 8 '32
31 days
aug 8 '32 : sep 8 '32
31 days
+ 12 days = 2922 + 92 +12 = 3026
sum (k, 0, 3026, 2^k) is a power series so
(1-2^3027)/(1-2) = 2^3027 - 1 and according to my comp =
>$1651189335055379974295278354163819577333633553838267072
439261412537008405649064066476892106872218848608135362427
157280491198471734873023456675265854354118005469476781771
175097572964276363635357029194428209576077618615295403976
718042706745668903500442286602031755583622254796907707849
692192442975504924763564842249797821348470366269106125929
568022312585199003434159778990299738439982897017040667768
853715510359238530317726916507828503805527935403129204499
665520337098210500982869009104185226910086455282299636111
535025466320977258973459816245213214141058914895061489817
184482438096475208995081412984740607637527416801869396720
767259539938687438120405077572631696070382701934244761337
223524461350955202160594671735025142291856553442042999132
998351523700589161522556376775202154161581243128977142487
741356692882597763317414481058124534829038381679230247421
104638545227491349839883399814768375632330316197555108577
.27
>
which is apx (2^7)*2^3020 = 128*1024^302~ 1.28 EE 908
my answer is 912 digits 4 off aint bad and doesn't require a computer