Problem: Given a0​=1,a1​=3, and the general relation an2​−an−1​an+1​=(−1)n for n≥1. Then a3​ equals:
Answer Choices:
A. 13/27
B. 33
C. 21
D. 10
E. −17
Solution:
When n=1a12​−a0​a2​=(−1)1;a2​=10
When n=2a22​−a1​a3​=(−1)2;a3​=33