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xenn
2 months ago
11

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?
Mathematics
2 answers:
babunello [11.8K]2 months ago
0 0
Let d_n signify the number of pages that Sasha reads on day n

for instance, d_7 represents the number of pages read on day 7.

On the first day, Sasha reads for 20 minutes, which translates to d_1=20 minutes


d_2=20+5=25 minutes. Since she adds 5 minutes on each subsequent day

, we can compile the following enumeration:

d_1=20
d_2=20+5
d_3=20++5+5=20+5*2
d_4=20+5+5+5=20+5*3

Thus, it is clear that in 30 days, Sasha reads:

d_1+d_2+d_3+...+d_3_0=

= 20 +(20+5)+(20+5*2)+(20+5*3)+...+(20+5*29)

In total, there are 30 sets of twenty plus 5 times the sum of integers from 1 to 29, simplifying to 5.

The sum of integers from 1 to 29 is calculated with Gauss's formula as (29*30)/2 = 435

. Therefore, the overall total is 20*30+435=600+435=1035 (minutes)

Note: Gauss's formula states that 1+2+3+...+(n-1)+n = n(n+1)/2


Result: 1035 minutes
 
Leona [12.6K]2 months ago
0 0
The correct answer is 2,775 on en
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