Find the sum of given equation upto n limit, Mathematics

Find the sum of (1 - 1/n ) + (1 - 2/n ) + (1 - 3/n ) ....... upto n terms.

Ans:

(1 - 1/n ) + (1 - 2/n ) - upto n terms

 

⇒[1+1+.......+n terms] - [ 1/n + 2/n +....+ n terms]

n -[Sn up to n terms]

Sn = n/2[2a+(n-1)d] (d = 1/n , a = 1/n )

= n/2 = [2/n +(n-1) 1/n]

= n + 1/2

(on simplifying)

n - (n + 1)/2 =

= n - 1/2 Ans

Posted Date: 4/8/2013 5:39:56 AM | Location : United States







Related Discussions:- Find the sum of given equation upto n limit, Assignment Help, Ask Question on Find the sum of given equation upto n limit, Get Answer, Expert's Help, Find the sum of given equation upto n limit Discussions

Write discussion on Find the sum of given equation upto n limit
Your posts are moderated
Related Questions
The sum of the smallest and largest multiples of 8 up to 60 is?

Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-


First, larger the number (ignoring any minus signs) the steeper the line.  Thus, we can use the slope to tell us something regarding just how steep a line is. Next, if the slope

how do we figure it out here is an example 3,4,6,9,_,_,_,_,_,. please help

Give an example of Divisibility? If you can divide one number by another without getting a remainder, we say that the first number is divisible by the second. For instance, the

what is infinite? ..


Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during his senior yea