Algebra

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Difficult

Sets Defined by Formulas

ALGEBR-UEEQYK

If:

$A = \{2, 6, 10, 14, ... , 4n+2\}$

and

$B =\{3, 6, 12, 24, ... , 3 \cdot 2^{n}\}$

...then how many elements are in the set $A \cap B$?

A

$0$

B

$1$

C

$6$

D

$24$

E

Infinitely many