Question

Question #f1761

Answer 1

See below.

Explanation:

We are given:

`a_1=2`
`a_n=a_(n-1)-3`

If we substitute values for `n`, we get:

`a_2=a_1-3`

`a_2=2-3 = -1`

`a_3=a_2-3`

`a_3=-1-3 = -4`

`a_4=a_3-3`

`a_4=-4-3=-7`

`a_5=-7-3`

`a_5=-7-3=-10`

`a_6=a_5-3`

`a_6=-10-3=-13`

So the sequence is:

`2, -1, -4, -7, -10, -13`

It's an arithmetic sequence with a common difference, `d`, equal to -3.