Question

Write the explicit function for the following sequence. 2. 10. 50, 250, ...

Answer 1

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:

$\begin{gathered} a_n=a_{1\cdot}q^{n-1} \\ a_3=2\cdot5^2\text{ =50} \\ a_4=2\cdot5^3=250 \end{gathered}$

2) So the answer is:

$a_n=a_{1\cdot}q^{n-1}$

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Done.

Thank you. I'll end this session. Have a great rest of your day!