Question

A flowchart to find the sum of first 100 natural numbers

Answer 1

The list of first 100 natural numbers is:1,2,3,4, .......100The above list forms an AP.Now, we have , n = 100First term,a = 1common difference, d = 2 − 1 = 1Now, sum of first n terms of AP is,        Sn = n2[2a+(n−1)d]⇒S100 = 1002[2+(100−1)1]⇒S100 = 50 [2 + 99] = 50 × 101 = 5050

Answer 2

Answer:

5050

Step-by-step explanation:

First 100 natural numbers = 1,2,3....100

Since it is in A.P.

So, a = first term = 1

d = common difference = 3-2=2-1=1

Sum of first n terms = n/2(2a+(n-1)d)

where a is the first term

d is the common difference

Sum of first 100 natural numbers =  100/2(2(1)+(100-1)1)

                                                     =  100/2(2+99)

                                                     =  100/2(101)

                                                     = 5050

Hence the sum of first 100 natural numbers is 5050