Respuesta :
Answer:
The number pages read on Thursday is 81 pages.
Step-by-step explanation:
Hint - This is problem of Geometric Series.
On Monday Tim read 3 pages. He reads triple the number of pages as the previous day.
So on Tuesday he will read = [tex]3\times 3=3^2[/tex] pages, so the series is
[tex]=3,3^2,3^3,........[/tex]
As Thursday is the 4th days.
So we have to find the 4th term.
We know that the nth term in a GP is,
[tex]T_n = ar^{n-1}[/tex]
where,
a = 1st term = 3,
r = common ratio = 3
n = 4
Putting the values,
[tex]T_4 = 3(3)^{4-1}[/tex]
[tex]= 3(3)^3[/tex]
[tex]=81[/tex]