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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.

Respuesta :

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

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]

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