Question

Write the explicit formula for each sequence.-2, -10, -50, -250, -1250,….

Answer 1

`\text{ a}_n=-2.(5)^(n-1)`

Step-by-step explanation:

Here, we want to write the explicit formula for the given sequence

Looking at the sequence, we can see that:

`(-10)/(-2)\text{ = }(-50)/(-10)\text{ = }(-250)/(-50)\text{ = 5}`

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:

`\text{ a}_n=-2.(5)^(n-1)`

where n is the term number