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Deepak Bora
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Find the sum of the following : (1-1/n)+(1-2/n)+(1-3/n)+……upto n terms.

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This is the Important question based on Arithmetic progression Chapter of R.S Aggarwal book for ICSE & CBSE Board.
In this Question you have to find the sum upto n terms.
This is the Question Number 32 Of Exercise 11 C of RS Aggarwal Solution

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  1. According to the Question:
    a=1-1/n
    a=(n-1)/n
    d=1-2/n-1+1/n
    d=1/n

    Sum
    =n/2(2a+(n-1)d)
    =n/2[2(n-1)/n+(n-1)-1/n]
    =n/2{[2(n-1)-(n-1)]/n]}
    =n/2[(n-1)/n]
    =1/2(n-1)

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