Question

Write the set $Y=\{1,\frac{1}{8},\frac{1}{27},\frac{1}{64},\frac{1}{125}\}$ in the set builder form.

• A. $Y=\{x|x=\frac{1}{n^3},n\in I,n\le 7\}$
• B. $Y=\{x|x=\frac{1}{n^3},n\in N,n\le 5\}$
• C. Data insufficient
  
• D. None of these
  

Answer 1

Answer: (B)

$Y=\{x|x=\frac{1}{n^3},n\in N,n\le 5\}$

$1=\frac{1}{1^3},\frac{1}{8}=\frac{1}{2^3},......$

$Y=\{x|x=\frac{1}{n^3},n\in N,n\le 5\}$