Answer:
[tex]\text{ a}_n=-2.(5)^{n-1}[/tex]Explanation:
Here, we want to write the explicit formula for the given sequence
Looking at the sequence, we can see that:
[tex]\frac{-10}{-2}\text{ = }\frac{-50}{-10}\text{ = }\frac{-250}{-50}\text{ = 5}[/tex]What this simply means is that we have to multiply the preceding term by 5 to get the succeeding term
Now, we have the explicit formula as follows:
We have deduced that the sequence is geometric. So we have the explicit formula as:
[tex]\text{ a}_n=-2.(5)^{n-1}[/tex]where n is the term number
