Question

To verify the sum of first n natural numbers is n(n+1)/2 by graphical method

Answer 1

The graph of S= n(n+1)/2 is attached:

S = Sum of the natural numbers

The vertical axis gives S, the sum

The horizontal axis gives n, the number of terms

From the graph, we can see that values of S (Sum) can be obtained from values of n.

For example, when n = 2, S = 3

and actually ..... 1 + 2 = 3

when n = 3, S = 6

and actually ..... 1 + 2 + 3 = 6

Answer 2

Answer:

Step-by-step explanation:

The graph of S= n(n+1)/2 is attached:

S = Sum of the natural numbers

The vertical axis gives S, the sum

The horizontal axis gives n, the number of terms

From the graph, we can see that values of S (Sum) can be obtained from values of n.

For example, when n = 2, S = 3

and actually ..... 1 + 2 = 3

when n = 3, S = 6

and actually ..... 1 + 2 + 3 = 6