1.
If α\alpha and β\beta are the roots of the equation 375x2−25x−2=0375x^2 - 25x - 2 = 0, then
lim⁡n→∞∑r=1nαr+lim⁡n→∞∑r=1nβr\lim_{n \to \infty} \sum_{r=1}^{n} \alpha^r + \lim_{n \to \infty} \sum_{r=1}^{n} \beta^r

is equal to: