A body moves on a frictionless plane starting from rest. If S_n is distance moved between t=n-1 and t=n and S_n-1 is distance moved between t=n-2 and t=n-1, then the ratio S_n-1S_n is (1- 2x) for n=1…

Question

A body moves on a frictionless plane starting from rest. If S_n is distance moved between t=n-1 and t=n and S_n-1 is distance moved between t=n-2 and t=n-1, then the ratio S_n-1S_n is (1- 2x) for n=10. The value of x is______

Accepted Answer

Correct answer: 19. (19) S_n= 12a (2n-1 )= 19a2S_n-1= 12a (2n-3 )= 17a2 S_n-1S_n= 1719=1- 2x ⇒x=19

$A body moves on a frictionless plane starting from rest. If S_{n} is distance moved between t = n - 1 and t = n and S_{n - 1} is distance moved between t = n - 2 and t = n - 1, then the ratio \frac{S _{n - 1}}{S _{n}} is (1 - \frac{2}{x}) for n = 10 . The value of x is______$

Solution

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