Question

Calculate the sum of first n natural numbers given by your teacher through the following activity. For example to find the sum of first four natural numbers, take a square-grid piece of paper of 4×5 squares.Then cut it as shown in the figure Hence verify the formula Sn= (n+1)÷2

Answer 1

Sₙ = n(n+1)/2

Step-by-step explanation:

Let shade the 1 , 2 , 3  , 4

Now Cut the Shaded area

and match with unshaded area  ( rotate 180°)

Shaded Area = unshaded area

Shaded + Unshaded = 4 * 5

Shaded = 4 * 5/2

=> Sₙ = n(n+1)/2

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