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

Answer:

$\frac{11}{8} \ hours$

Step-by-step 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 = $\frac{1}{4}$ , and we will have to find the fourth term.

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

$d=Second \ term - First\ term$

  $=\frac{5}{8} -\frac{1}{4} \\\\ =\frac{5-2}{8} \\=\frac{3}{8}$

Now, to find nth term ,$a_{n} =a+(n-1)\times d$

$a_{n} =a+(n-1)\times d$

$a_{4} =\frac{1}{4} +(4-1)\times\frac{3}{8} \\\\ a_{4}=\frac{1}{4}+3\times\frac{3}{8}\\ a_{4}=\frac{1}{4}+\frac{9}{8} \\ a_{4}=\frac{2+9}{8}$

$a_{4} =\frac{11}{8}$

Therefore, Jake wil read $\frac{11}{8} \ hours$ on Friday.