1 uence x, = 1 , x2 = 1+ , x,-| +-, . In this sequence 1+ x"+1 = 1 +_ (for n 21 ). write a method in Java that computes x, . As n increases, the terms of this sequence get closer and closer to the golden ratio 1.61803398875. How close is o to the golden ratio? ~ 2 2 18." In the sequence in Question l 7, x, = 1 , x,--, =-, x, =-, xs =-, Write a program that computes and prints out x, as a simple fraction, giving its numerator and denominator. Which fraction with the denominator that does not exceed 50 best approximates the golden ratio