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Number Theory

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Finite Product: $\prod_{j = 1}^{n} 2^{j}$

NUMTH-XRQOOS

Let $n \in \mathbb{N}$.

What is $\prod_{j = 1}^{n} 2^{j}$?

A

$2^{n!}$

B

$2^n$

C

$2^{\frac{n(n + 1)}{2}}$

D

$\infty$