Manipal MET2019MathematicsBasics of Mathematics
If n be any integer, then n(n+1)(2 n+1) is:
Options
- Aodd number
- Bintegral multiple of 6
- Cperfect square
- Ddoes not necessarily have any of the foregoing proof
Correct answer
B. integral multiple of 6
Step-by-step solution
Given that n be any integer, then n(n+1)(2 n+1) always an integral multiple of even numbers (i.e. 6,30,84, ) when aligned & n=1, n(n+1)(2 n+1)=1(2)(3)=6 & n=2, n(n+1)(2 n+1)=2(3)(5)=30 aligned and so on.