Q46 / 160 · AP EAMCET 2005 · Mathematics

$\{n(n+1)(2 n+1): n \in Z\} \subset$

  • Correct answer
    A
    $\{6 k: k \in Z\}$
  • B
    $\{12 k: k \in Z\}$
  • C
    $\{18 k: k \in Z\}$
  • D
    $\{24 k: k \in Z\}$

Solution

Let $f(x)=n(n+1)(2 n+1)$ When we put the different values of $n$, we will get the set $\begin{aligned} & =\{\ldots-30,-6,0,6,12, \ldots\} \\ \Rightarrow \quad & \{n(n+1)(2 n+1): n \in z\} c \\ & \{6 k: k \in Z] \end{aligned}$

Hence, the correct answer is option: 'A'.

Relevant Questions