(D) The pattern follows the relationship $(n^{2} - 1) : (n^{3} + 1)$.For the first pair: $5^{2} - 1 = 25 - 1 = 24$ and $5^{3} + 1 = 125 + 1 = 126$.For

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(D) The pattern follows the relationship $(n^{2} - 1) : (n^{3} + 1)$.For the first pair: $5^{2} - 1 = 25 - 1 = 24$ and $5^{3} + 1 = 125 + 1 = 126$.For the second pair,we observe $48 = 7^{2} - 1$.Following the same logic,the next term is $7^{3} + 1 = 343 + 1 = 344$.Therefore,the correct option is $D$.