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

I have a journal article in applied mathematics and want to analyze the solutions step by step. Is there anyone specialize in this file?

Q. How to calculate arithmetic average or mean? Ans. When people collect information, or data, they can easily be overwhelmed with information. Just imagine listing the b

Find and classify the equilibrium solutions of the subsequent differential equation. y' = y 2 - y - 6 Solution The equilibrium solutions are to such differential equati

WHAT IS PRECALC

Q. Define Combined Functions? Ans. We are often interested in functions which combine a trigonometric function with another type of function.  For example, y = x + sinx wi

One inch equals 2.54 centimeters. The dimensions of a table made in Europe are 85 cm huge by 120 cm long. What is the width of the table in inches? Round to the nearest tenth of an

Exponential smoothing It is a weighted moving average technique, this is described by: New forecast = Old forecast + a (Latest Observation - Old forecast) Whereas a = Sm

1a.if the williams spend $385 a month on food what is their monthly income

how to find volume of a cone in cubic units when the radius is 5 and height is 11