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jaystarr9395
19.01.2020 •
Mathematics
Sasha sets a goal to read 5 minutes longer than each previous day for 30 days. on the first day, sasha reads for 20 minutes. the expression mc018-1.jpg represents the total number of minutes sasha reads during the 30 days. how many total minutes does she read?
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Ответ:
for example
in the first day Sasha reads 20 minutes means
so we can make the following list:
so clearly
in 30 days Sasha reads:
= 20 +(20+5)+(20+5*2)+(20+5*3)+...+(20+5*29)
we have in total 30 twenties + 5(1+2+3+....+29), factorizing 5.
the sum 1+2+3+....+29 can be found by Gauss formula as (29*30)/2 = 435
So the total sum is 20*30+435=600+435=1035 (minutes)
Remark: Gauss formula states that 1+2+3+...+(n-1)+n = n(n+1)/2
1035 minutes
Ответ:
Explanation:
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