Question

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 1

3 times 3=9 times 3 = 27 times 3 =81

Answer 2

The number pages read on Thursday is 81 pages.

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* 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`