A sculptor is using a pattern of glass cubes to create a sculpture with 5 sections. The first section has 4 cubes, the second section has 8 cubes, and the third section has 16 cubes. If the pattern continues, how many cubes will be in the fifth section?

2 Answers
Apr 2, 2018

64 glass cubes will be in 5 th section.

Explanation:

The pattern is of geometric sequence whose first term is a=4,

common ratio is r=8/4=2 . In geometric sequence the nth

term is T_n=a*r^(n-1) ; n=5 :.T_5= 4*2^(5-1)= 4 *2^4=64

64 glass cubes will be in 5 th section. [Ans]

Apr 2, 2018

color(green)(64 tiles

Explanation:

Number of cubes (n) in the first section =2^2=4 {here, n=1}

Number of cubes (n) in the second section =2^3=8 {here, n=2}

Thus, we see that in each section, number of cubes =2^(n+1)
So, number of cubes in the fifth section=2^(5+1)=2^6=64