Answer: At the end of May, there will be $372.
Explanation:
Since we have given that
On the first day of May, each one save =$0.25
Number of friends = 3
Total save on the first day of May is given by
[tex]0.25\times 3=\$0.75[/tex]
Similarly,
On the second day of May, each one save =$0.25
Total save on the second day of May is given by
[tex]0.50\times 3=\$1.5[/tex]
Similarly,
On the third day of May, each one save =$0.25
Total save on the third day of May is given by
[tex]0.75\times 3=\$2.25[/tex]
This series becomes arithmetic progression,
[tex]0.75,1.5,2.25......[/tex]
Here, a = 0.75
d=common difference is given by
[tex]d=a_2-a_1=1.5-0.75=0.75\\d=a_3-a_2=2.25-1.5=0.75[/tex]
Since there are 31 days in the month of May,
So, n=31
We need to calculate the sum of 31 terms to get our answer,
[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\\\S_{31}=\frac{31}{2}(2\times 0.75+(31-1)\times 0.75)\\\\=\frac{31}{2}(1.5+30\times 0.75)\\\\=\frac{31}{2}(24)\\\\=31\times 12\\\\=\$372[/tex]
Hence, at the end of May, there will be $372.
Answer:
$372
Step-by-step explanation:
I trusted the other guy's answer as well, but it had a 3 star rating so I decided to test it all out for myself, and just spent 10 minutes calculating it all out on paper and calculator lma oo so yeah $372 is the correct answer indefinitely.
