Question

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

Answer 1

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

Step-by-step explanation:

The Arithmetic Sequence Formula is:

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

Where:

$a_n$ is the $n^{th}$ term of the sequence.

$a_1$ 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:

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