Question

What equation can be written from this sequence -50,-33,-16,1

Answer 1

Answer:
`a_n=-50+(n-1)17`

Explanation:

The Arithmetic Sequence Formula is:

`a_n=a_1+(n-1)d`

Where:

`a_n` is the
`n^(th)` term of the sequence.

`a_1` {a_1} is the first term of the sequence.

`n` is the term position.

`d` is the common difference of any pair of consecutive numbers.

We can observe that the first term is:

`a_1=-50`

Now, we need to find "d". This is:

`d=-16-(-33)\\d=-16+33\\d=17`

Then, substituting, we get the following equation:

`a_n=-50+(n-1)17`