In the sequence \(a_1, a_2, \ldots, a_n,\ldots,\) we have \(a_1=x\) and \(a_n=y-z\cdot a_{n-1}\) for all \(n>1.\) Is

[VJesus12]

In the sequence \(a_1, a_2, \ldots, a_n,\ldots,\) we have \(a_1=x\) and \(a_n=y-z\cdot a_{n-1}\) for all \(n>1.\) Is \(a_3>a_2?\)

(1) \(z > y^2 + 2\)
(2) \(x > \dfrac{y}{z+1}\)

Answer: C

Source: Veritas Prep