Current location - Training Enrollment Network - Mathematics courses - I'll give you ten cents a day and double it every day for a month (30 days in total). How much money do you have altogether? [Come to the great god of mathematics to help calculate]
I'll give you ten cents a day and double it every day for a month (30 days in total). How much money do you have altogether? [Come to the great god of mathematics to help calculate]
If there are 30 days in the current month and one month later (***30 days), the total * * is 107374 182.3 yuan.

The answer process is as follows:

First of all, this is a geometric series, assuming that it is sent continuously for n days. ?

Then an = 0. 1× 2 (n- 1). ?

Therefore, sn =-0.1× (1-2n) = 0.1× (2n-1). ?

So when n=30, S30 = 0./kloc-0 /× (230-1) =107374182.3 yuan. ?

Extended data:

Sum formula of equal ratio sequence

The sum formula is described in words: Sn= the first term (the n power of common ratio 1)1-common ratio (common ratio ≠ 1) If common ratio q= 1, then each term in the geometric series is equal, and its general term formula is a/kloc.