Answer:
Step-by-step explanation:
This problem is about arithmetic sequence, where the difference is 5, that is, the sequence is formed by summing 5 to each term. We know that the first day, the dosis should be 100 milligrams, starting from that we form the sequence
[tex]100,105,110,115,120,125,130,135,140,145,150,155[/tex]
However, the question is about the total milligrams the person took during all treatment. We can find the sum of all terms with the following formula.
[tex]S_{n}=\frac{n(a_{1}+a_{n} )}{2}[/tex]
Where [tex]a_{1}=100[/tex], [tex]n=12[/tex] and [tex]a_{n}=a_{12}=155[/tex]. Replacing these values, we have
[tex]S_{12}=\frac{12(100+155)}{2}= 1,530[/tex]
Therefore, the patient took 1,530 milligrams during the complete treatment.
