That's big

Algebra Level 4

If $\alpha ,\beta$ be roots of the equation $35x^{2}-140x+140=0$ and $S_{n}={ \alpha }^{ 100n }-{ \beta }^{ 100n }$ . Find $\sum_{ i=1 }^{ \infty }{ (S_{i}\times S_{i-1}) }$

The answer is 0.

1 solution

Department 8
Aug 26, 2015

Consider the equation $35x^{2}-140x+140=0 \\ 35(x^{2}-4x+4)=0 \\ (x-2)^{2}=0 \\ \alpha=\beta=2$

This gives $S_{n}=0$ . ATQ the answer of the question is $\boxed{0}$

lakshya, the answer key of ai2ts is out.calculate the marks recieved by u and tell the marks obtained by u.

Kaustubh Miglani - 5 years, 9 months ago

226 at ai2ts

Department 8 - 5 years, 9 months ago

well u see utsav really is not at level 4 in algebra at level 3

Kaustubh Miglani - 5 years, 9 months ago

@Kaustubh Miglani – What is his full name And @Arkodipto Dutta followed me

Department 8 - 5 years, 9 months ago

@Department 8 – utsav bhardwaj

Kaustubh Miglani - 5 years, 9 months ago

That's big

The answer is 0.

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