Find the sum of all natural numbers, Mathematics

Assignment Help:

Find the sum of all natural numbers amongst first one thousand numbers which are neither divisible 2 or by 5

Ans:    Sum of all natural numbers in first 1000 integers which are not divisible by 2 i.e. sum of odd integers.

1 + 3 + 5 + .......... + 999

n = 500

S500 = 500/2 [1 + 999]

= 2,50,000

No's which are divisible by 5

5 + 15 + 25 ........ + 995

n = 100

Sn = 100/2 [5 + 995]

= 50 x 1000 = 50000

∴ Required sum = 250000 - 50,000

= 200000


Related Discussions:- Find the sum of all natural numbers

Linear differential equations, The first particular case of first order dif...

The first particular case of first order differential equations which we will seem is the linear first order differential equation. In this section, unlike many of the first order

Find poq of tangents drawn to the circle, In figure, O is the centre of th...

In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:

Determine and classify all critical points , Determine and classify all the...

Determine and classify all the critical points of the given function.  Described the intervals where function is increasing & decreasing. Solution: Firstly we'll require

Math project , Topic 1: Statistical Studies Find two different news storie...

Topic 1: Statistical Studies Find two different news stories in a mainstream media source (CNN, FoxNews, Newsweek, etc.), that cite data from a recognized poling agency. Locate th

Iit-jee questions, can u tell me a website for iit-jee questions?

can u tell me a website for iit-jee questions?

Cylindrical coordinate system, how to describe the locus of the equation x^...

how to describe the locus of the equation x^2+6xy+y^2+z^2=1 in cylindrical polar coordinates?

Michael has 16 cds how many cds does kathleen have, Michael has 16 CDs. Th...

Michael has 16 CDs. This is four more than twice the amount that Kathleen has. How many CDs does Kathleen have? Let x = the number of CDs Kathleen has. Four more than twice th

Addition, in kannaha tiger reserve forest,there are 50 tigers and in bandha...

in kannaha tiger reserve forest,there are 50 tigers and in bandhavgarh reserve forest there are 35 tigers.how many tigers are there in all in both the forests

What are intervals, A subset of the real line is called as an interval. Int...

A subset of the real line is called as an interval. Intervals are very significant in computing inequalities or in searching domains etc. If there are two numbers a, b € R such tha

Given a differential equation will a solution exist?, All differential equa...

All differential equations will doesn't have solutions thus it's useful to identify ahead of time if there is a solution or not. Why waste our time trying to get something that doe

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