Question

What is the mean of the First 100 Counting numbers?

Answer 1

Answer:

5050

Step-by-step:

x1+x2+x3+..........+x100

x1+x100 = 1+100 = 101

x2+x99 = 2+99 = 101

so number of pairs are

number of terms/2 = 50

so

50 x 101 = 5050  

or

sum of 1st natural number is  n(n+1)/2

where n = number of terms

so

100x101/2=50x101=5050