Answer:
The students got 3 signatures on first day.
Step-by-step explanation:
We are given the following in the question:
The number of signatures students get each day is 3 times as many as the day before.
Thus, the number of signatures form a geometric progression with common ratio 3.
[tex]r = 3[/tex]
Number of signatures on sixth day = [tex]3^6[/tex]
[tex]n^{th}[/tex] term in a geometric progression is given by:
[tex]a_n = ar^{n-1}[/tex]
where a is the first term of the series and r is the common ratio.
[tex]a_6 = 3^6\\3^6 = ar^{5}\\3^6 = a(3)^5\\a = 3[/tex]
Thus, the first term of geometric progression is 3.
Thus, the students got 3 signatures on first day.
