Let A={2,3,6,8,9,11} and B={1,4,5,10,15}. Let R be a relation on A×B defined by (a,b)R(c,d) if and only if 3ad−7bc is an even integer. Then the relation R is
Held on 8 Apr 2024 · Verified 6 Jul 2026.
an equivalence relation.
reflexive and symmetric but not transitive.
transitive but not symmetric.
reflexive but not symmetric.
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Let $a_{1}=1$ and for $n \geqslant 1, a_{n+1}=\frac{1}{2} a_{n}+\frac{n^{2}-2 n-1}{n^{2}(n+1)^{2}}$. Then $\left|\sum_{n=1}^{\infty}\left(a_{n}-\frac{2}{n^{2}}\right)\right|$ is equal to $\_\_\_\_$.
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