1) The explicit function allows us to calculate any term of that sequence.
(2,10, 50, 250)
As we can see this is a Geometric Sequence, whose ratio is 5
Therefore we can write:
[tex]\begin{gathered} a_n=a_{1\cdot}q^{n-1} \\ a_3=2\cdot5^2\text{ =50} \\ a_4=2\cdot5^3=250 \end{gathered}[/tex]2) So the answer is:
[tex]a_n=a_{1\cdot}q^{n-1}[/tex]----
Done.
Thank you. I'll end this session. Have a great rest of your day!
