TS EAMCET · Maths · Basic of Mathematics
\(\{n(n+1)(2 n+1): n \in Z\} \subset\)
- A \(\{6 k: k \in Z\}\)
- B \(\{12 k: k \in Z\}\)
- C \(\{18 k: k \in Z\}\)
- D \(\{24 k: k \in Z\}\)
Answer & Solution
Correct Answer
(A) \(\{6 k: k \in Z\}\)
Step-by-step Solution
Detailed explanation
Let \(f(x)=n(n+1)(2 n+1)\) When we put the different values of \(n\), we will get the set \(\begin{aligned} & =\{\ldots-30,-6,0,6,12, \ldots\} \\ \Rightarrow \quad & \{n(n+1)(2 n+1): n \in z\} c \\ & \{6 k: k \in Z] \end{aligned}\)
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