Question

Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2

Answer 1

`r_3=3`

Explanation:

Given:

`r_1=2\\r_n=-r_(n-1)+n-2`

We want to find the value of
`r_3` .

`\\r_2=-r_(2-1)+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_(3-1)+3-2\\r_3=-r_(2)+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3`