Question

Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...

Answer 1

D- Neither Gustavo nor Yuki

Explanation:

Khan

Answer 2

Neither Gustavo nor Yuki

Explanation:

It's an arithmetic sequence.

`0-19=-19\\-19-0=-19\\-38-(-19)=-38+19=-19`

The difference is constant.

The explicit formula of an arithmetic sequence:

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

Substitute:

`a_1=19,\ d=-19`

`a_n=19+(n-1)(-19)` use distributive property

`a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n`