Question 78
Let $A = \{x \mid x = n(n+1) \text{ and } n \in \mathbb{N}^*\},\ B = \{y \mid y = 2^{4k+3} \text{ and } k \in \mathbb{N}\}$.
a) Show that $A \cap B = \emptyset$.
b) Determine the positive integer $m$ such that the triple of the sum of the $m$ smallest elements of the set $A$ equals the sum of the three smallest elements of the set $B$.
a) Show that $A \cap B = \emptyset$.
b) Determine the positive integer $m$ such that the triple of the sum of the $m$ smallest elements of the set $A$ equals the sum of the three smallest elements of the set $B$.