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The expression \( \Large 8^{n}-4^{n} \), where n is a natural number is always divisible by

A) 15
B) 185
C) 36
D) 48

Correct Answer:




D) 48

Description for Correct answer:
\( \Large 8^{n}-4^{n} \)

n = 1,2,3.......(n is a natural number)

Put, n = 2, expression

\( \Large =8^{2}-4^{2}=64-16=48 \)

\( \therefore \Large 8^{n}-4^{n}\) is divisible by 48

Part of solved Number series questions and answers : >> Aptitude >> Number series

Comments

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