If `alpha, beta` are roots of the equation `375 x^(2) - 25x - 2 = 0 and S_(n) = alpha^(n) + beta^(n), "then" lim_(n in oo) sum_(r = 1)^(n) S_(r)` is e - Sarthaks eConnect

If `alpha, beta` are roots of the equation `375 x^(2) - 25x - 2 = 0 and S_(n) = alpha^(n) + beta^(n), "then" lim_(n in oo) sum_(r = 1)^(n) S_(r)` is equal to
A. `7//116`
B. `1//12`
C. `29//348`
D. none of these

If `alpha, beta` are roots of the equation `375 x^(2) - 25x - 2 = 0 and S_(n) = alpha^(n) + beta^(n), "then" lim_(n in oo) sum_(r = 1)^(n) S_(r)` is e

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