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erinolson07cats
12.11.2019 •
Mathematics
Your elderly neighbor places a bag of rice on your doorstep each morning. the first day, the bag contained 1 grain of rice, the second day it contained 2 grains of rice, 4 grains of rice the third day, and so on. each grain of rice weighs 0.04 grams. how many grains of rice will be in the bag on the 26th day?
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Ответ:
On 26th day there will be 33,554,432 grains in the bag.
Step-by-step explanation:
Given:
Number of grains in bag
1st day =1 grain
2nd day= 2 grains
3rd day= 4 grains
And so on.......
The numbers
show that the numbers are in geometric sequence with common ratio
as ratio between consecutive terms is
.
We need to find number of grains in 26th day.
We apply the
term formula for geometric sequence.
where
represents the nth term,
represents the first term and
represents the common ratio.
Plugging values![a_1=1\ and\ r=2](/tpl/images/0371/0815/dbaba.png)
∴![a_{26}=1(2)^{26-1}](/tpl/images/0371/0815/b0a4b.png)
∴ On 26th day there will be 33,554,432 grains in the bag.
Ответ:
8
Step-by-step explanation: