>

A sample text widget

Etiam pulvinar consectetur dolor sed malesuada. Ut convallis euismod dolor nec pretium. Nunc ut tristique massa.

Nam sodales mi vitae dolor ullamcorper et vulputate enim accumsan. Morbi orci magna, tincidunt vitae molestie nec, molestie at mi. Nulla nulla lorem, suscipit in posuere in, interdum non magna.

Published on February 12th, 2013 In category Education | Maths

Search Similar Topic: , ;

Shortcut for adding all even numbers or odd numbers

odd-numbers-even-numbersIn this article we will learn some shortcuts to add, if a series of odd number or even numbers are provided. For example in an examination it is asked, add all the ever numbers between 1 to 50 and then add all the odd numbers between 1 to 100 and then add both the results to get an answer. The trick to solve such kind of problems is 

There are 25 even numbers between 1 and 50, the addition of all 25 even numbers can be calculated as multiplying amount of even numbers in the range to amount of odd number +1, in this case it will ( 25 x 26) = 650

The sum of odd numbers can be calculated as square of amount of odd numbers in the range in our case it will be  square of 50 or 50 x 50 = 2500. So result of the sum of 2 numbers is 2500 +650 = 3150

As a rule we can say

For Adding Odd Numbers in a range : Square the amount of odd numbers in Series

For Adding Even Numbers in a range: Multiply the amount of even number in series to one more than their number

If you liked my post please consider to make some donations [paypal-donation]