Question

The set $\{6,36,216,1296\}$ can be written in Set builder form as:

• A. $\{x:x=6^n,n\in N,n\le 5\}$
• B. $\{x:x=6^n,n\in N,n\le 4\}$
• C. $\{x:x=6^n,n\in W,n\le 4\}$
• D. $\{x:x=6^n,n\in W,n\le 5\}$

Answer 1

The correct option is B $\{x:x=6^n,n\in N,n\le 4\}$

Given the set as:
$\{6,36,216,1296\}$
here, the elements are powers of $6$ as:
$6^1=6;6^2=36;6^3=216;6^4=1296$
Hence, we can write the following in set builder form as:
$\{x:x=6^n,n\in N,n\le 4\}$