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Paragraph: If r ^ th term of a series can be writuen as a _ t = f ( r )- f ( r -1) , then S_a= _ r=1 ^n a_s=f(n)-f(0) and S_n= _ n S_n , then Question: Value of ( 1-1) ₁⁵⁰ n+ 1 ₁⁵⁰ n is equal to

Options

  1. A50^
  2. B50^ - 1^
  3. C51^ - 1^
  4. D1 2

Correct answer

C. 51^ - 1^

Step-by-step solution

aligned & a _ n = ( n +1)- n & ~S _ n = ( n +1)- 1 & ~S _ s ₀ = 51- 1 aligned

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