What is the arithmetic mean of first 20 odd natural numbers? (SSC C...
For 20 natural last odd number = 1 + (20 – 1) × 2 = 39
Arithmetic mean of odd number = (n + 1)/2
= 40/2 =20


What is the arithmetic mean of first 20 odd natural numbers? (SSC C...
Understanding Odd Natural Numbers
The first 20 odd natural numbers are a sequence starting from 1 and increasing by 2 each time. They are:
- 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
- 21, 23, 25, 27, 29, 31, 33, 35, 37, 39
Finding the Sum of the Numbers
To calculate the arithmetic mean, we first need the sum of these numbers. The sum of the first n odd natural numbers is given by the formula:
- Sum = n^2
For n = 20 (the count of the first 20 odd natural numbers):
- Sum = 20^2 = 400
Calculating the Arithmetic Mean
The arithmetic mean (average) is calculated by dividing the sum by the number of terms:
- Mean = Sum / Number of Terms
- Mean = 400 / 20 = 20
Conclusion
Thus, the arithmetic mean of the first 20 odd natural numbers is:
- 20
The correct answer is option 'D'.