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.