question number 10 10 If α, β are roots of 375x2 - 25x - 2 = - Maths - Logs Equations and Inequalities

Question

question number 10

10     I f   α ,   β   a r e
  r o o t s   o f   375 x 2   -   25 x
  -   2   =   0   a n d   s n  
=   α n   +   β n ,   t h e n  
f i n d   t h e   v a l u e   o f   lim n
→ ∞   ∑ r   =   1 n   s r

Lovina Kansal · Accepted Answer

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question number 10 10 . I f α , β a r e r o o t s o f 375 x 2 - 25 x - 2 = 0 a n d s n = α n + β n , t h e n f i n d t h e v a l u e o f lim n → ∞ ∑ r = 1 n s r .

question number 10

$10 . I f α, β a r e r o o t s o f 375 x^{2} - 25 x - 2 = 0 a n d s_{n} = α^{n} + β^{n}, t h e n f i n d t h e v a l u e o f \lim_{n \to \infty} \sum_{r = 1}^{n} s_{r} .$