Question

How do you find the formula for `a_n` for the arithmetic sequence `a_1=100, d=-8`?

Answer 1

`a_n=108-8n`

Explanation:

`"for the standard arithmetic sequence"`

`a,color(white)(x)a+d,color(white)(x)a+2d,....,a+(n-1)d`

`"the nth term "=a+(n-1)d`

`"here " a=a_1=100" and " d=-8`

`rArra_n=100-8(n-1)`

`color(white)(rArra_n)=100-8n+8`

`color(white)(rArra_n)=108-8n`