Question

How do you find the 93rd term of the arithmetic sequence with first term 23 and 10th term 77?

Answer 1

`575`

Explanation:

The formula for an arithmetic sequence is `a+(n-1)d=x`

Here you already have the first term, `a=23`.

Now you just have `23+(10-1)d=77-=9d=54-=d=54/9=6`.

Now you have `a` and `d`. For the 93rd term, we do `23+(93-1)6=23+(92)6=575`.