Hello guys, this is Herbert. Well, for some days, i realized i wasnt posting Educational matters here but todayπͺπͺ, i will be posting some nice shortcuts and other maths concepts which can help boost your speed and confidence in maths. "Geeks on mathematics" is going to be a new initiative by me coming soon. In that group, we will be solving maths and science questions and share ideas too.βοΈπ€
Sum of (n) natural number;
=n(n+1)/2 .....eg.
Find the sum of the first 5 natural numbers.....
=5(6)/2=15.
Lets try it normally and see whether we will get this or not.
1+2+3+4+5=15βοΈπͺπͺ. Its right.π€π€π€. Now let us go to the second one.
Sum of n odd and even number.
The formula for (n) odd number is;
nΒ² or n x n. Lets find the sum of the first 5 odd numbers.
5Β²=25. Wow, this was damn fast right.πͺ. Okay lets use the counting method.
1+3+5+7+9=25 ππ. Maths made so easyπππ.
Now lets go to the even numbers.
The formula is n(n+1) .
Eg. Find the sum of the first 10 even numbers. Without counting the numbers you can solve it within 2 secondsππππͺ.
10(10+1) = 110. Cool right. This is very fast. Now lets use normal method.
2+4+6+8+10+12+14+16+18+20= 110π.
In my next article, i will be writing about;
The sum of the square of the first n natural numbers.
Sum of squares of the first n odd and even numbers.
I hope you liked this article. Please dont forget to suscribe to me for more and also give me a thumbs up tooπ€π€. # Maths made easy
Be inspired.π»π».
Wonderful article π§π§ I feel dizzy though π· just looking at the number βοΈβοΈβοΈ ππ