Discussion

Explanation:

Let us calculate the difference between consecutive terms.

18 – 14 =  = 2²

82 – 18 = 64 = 4³

118 – 82 = 36 = 6²

630 – 118 = 512 = 8³

Hence, the difference is alternately square and cube of consecutive even numbers.

∴ Next number should be 630 + 10² = 730

Hence, option (a).

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