Find the sum of given equation upto n limit, Mathematics

Assignment Help:

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


Related Discussions:- Find the sum of given equation upto n limit

Definition of higher order derivatives, Higher Order Derivatives : Le...

Higher Order Derivatives : Let's begin this section with the given function.                            f ( x ) = 5x 3 - 3x 2 + 10 x - 5 By this point we have to be a

Tower of hanoi, how to create an activity of tower of hanoi

how to create an activity of tower of hanoi

Coefficients of the equation, If coefficients of the equation ax 2 + bx + ...

If coefficients of the equation ax 2 + bx + c = 0, a ¹ 0 are real and roots of the equation are non-real complex and  a + c (A) 4a + c > 2b (B) 4a + c Please give t

The length of the rectangle is 2 inches more than the width, The area of a ...

The area of a rectangle is 24 square inches. The length of the rectangle is 2 inches more than the width. How many inches is the width? Let x = the number of inches in the widt

Basic indefinite integrals- computing indefinite integrals, Basic indefinit...

Basic indefinite integrals The first integral which we'll look at is the integral of a power of x.                                ∫x n dx = (x n +1 / n + 1)+ c,          n

LINEAR EQUATIONS, SOLVE THE inequation 0>-5 -X AND X Belongs TO R .Represen...

SOLVE THE inequation 0>-5 -X AND X Belongs TO R .Represent THE SOLUTION SET ON THE NUMBER LINE

Geometry Question, Does the Angle-Side Relationship Theorm work for all tri...

Does the Angle-Side Relationship Theorm work for all triangles or just a certain type of triangle? Does is correspond with the orthocenter of a triangle?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd