If ∑n=0∞anxn\sum_{n=0}^{\infty} a_n x^n∑n=0∞anxn converges to f(x)=11−x−x2f(x) = \frac{1}{1-x-x^2}f(x)=1−x−x21 for ∣x∣<5−12|x| < \frac{\sqrt{5}-1}{2}∣x∣<25−1, what is the recurrence relation for ana_nan?
an=an−1+an−2a_n = a_{n-1} + a_{n-2}an=an−1+an−2
an=an−1−an−2a_n = a_{n-1} - a_{n-2}an=an−1−an−2
an=2an−1+an−2a_n = 2a_{n-1} + a_{n-2}an=2an−1+an−2
an=an−1+2an−2a_n = a_{n-1} + 2a_{n-2}an=an−1+2an−2