Question

Jake set up a study schedule the plan called for him to study 1/4 hour 58 hours and one hour on Monday Tuesday and Wednesday in that order if he continues with this pattern how long will he study on Friday

Answer 1

`(11)/(8) \ hours`

Explanation:

Given:

Jake set up a study schedule the plan called for him to study :

On Monday = 1/4 hour

On Tuesday = 5/8 hours

On Wednesday = 1 hour

Question asked:

If he continues with this pattern how long will he study on Friday ?

Solution:

Here this study schedule follows the arithmetic progression in which:

First term =
`(1)/(4)` , and we will have to find the fourth term.

first of all we will find the common difference, d = ?

`d=Second \ term - First\ term`

`=(5)/(8) -(1)/(4) \\\\ =(5-2)/(8) \\=(3)/(8)`

Now, to find nth term ,
`a_(n) =a+(n-1)* d`

`a_(n) =a+(n-1)* d`

`a_(4) =(1)/(4) +(4-1)*(3)/(8) \\\\ a_(4)=(1)/(4)+3*(3)/(8)\\ a_(4)=(1)/(4)+(9)/(8) \\ a_(4)=(2+9)/(8)`

`a_(4) =(11)/(8)`

Therefore, Jake wil read
`(11)/(8) \ hours` on Friday.