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Recurrence Relationshard
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Consider the coupled recurrence system: xn=0.7xn−1+0.3yn−1,yn=0.3xn−1+0.7yn−1.x_n = 0.7x_{n-1} + 0.3y_{n-1}, \quad y_n = 0.3x_{n-1} + 0.7y_{n-1}.xn​=0.7xn−1​+0.3yn−1​,yn​=0.3xn−1​+0.7yn−1​. What happens to the total population Sn=xn+ynS_n = x_n + y_nSn​=xn​+yn​ as nnn increases?