Respuesta :

Given:

Given the sequence of numbers

[tex]3,5,12,55,648[/tex]

Required: Next set of numbers

Explanation:

The terms can be related as

[tex]\begin{gathered} 3\times5-3=15-3=12 \\ 5\times12-5=60-5=55 \\ 12\times55-12=660-12=648 \end{gathered}[/tex]

Find the next set of numbers using the relation.

[tex]\begin{gathered} 55\times648-55=35585 \\ 648\times35585-648=23058432 \\ 35585\times23058432-35585=820534267135 \end{gathered}[/tex]

Final Answer: The next set of numbers re 35585, 23058432, 820534267135.

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