Answer:
186
Step-by-step explanation:
Joshua reads 6 books when he was 6 years old. Every year he doubled the number of books he read the previous year.
The series will be,
[tex]6,12,18,......[/tex]
This is in Geometric Progression. With initial term as 6 and common ratio as 2.
As we have to find the number of books he read from 6 year to 10 years i.e we have to find the sum of the series upto 5th term.
We know,
[tex]S_n=\dfrac{a(r^n-1)}{r-1}=\dfrac{6(2^5-1)}{2-1}=186[/tex]