Question

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

Answer 1

Answer:

$r_3=3$

Step-by-step explanation:

Given:

$r_1=2\\r_n=-r_{n-1}+n-2$

We want to find the value of $r_3$ .

$\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3$