Discussion

See the number pattern given below :

1, 8, 27, 64, 125, __________ , _________

What will be the next two terms ?

Answer: D

The next two terms are 216 and 343.

The pattern is the cubes of the natural numbers:

\[ 1^{3}, 2^{3}, 3^{3}, 4^{3}, 5^{3} = 1, 8, 27, 64, 125 \]

\[ 6^{3} = 216, \quad 7^{3} = 343 \]

256 is \(4^{4}\) or \(16^{2}\) and 289 is \(17^{2}\), so the options containing them do not continue the pattern of cubes.

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