tim is reading a book.On Monday he reads 3 pages.On each day after that, he reads triple the number of pages as the previous day. How many pages does ire read on Thursday.
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 = \(3\times 3=3^2\) pages, so the series is
\(=3,3^2,3^3,........\)
As Thursday is the 4th days.
So we have to find the 4th term.
We know that the nth term in a GP is,
\(T_n = ar^{n-1}\)
where,
a = 1st term = 3,
r = common ratio = 3
n = 4
Putting the values,
\(T_4 = 3(3)^{4-1}\)
\(= 3(3)^3\)
\(=81\)