Question

Given the first term and the common dimerence er an arithmetic sequence how do you find the 52nd term and the explicit formula: `a_1=37, d=200`?

Answer 1

`a_(52)=10237" and " a_n=200n-163`

Explanation:

`"the nth term of an arithmetic sequence is"`

`•color(white)(x)a_n=a_1+(n-1)d`

`rArra_(52)=37+(51xx200)=10237`

`"the general ( explicit) formula"`

`a_n=37+200(n-1)`

`color(white)(a_n)=37+200n-200`

`rArra_n=200n-163`