The sum of first n odd natural numbers is
a. 2n+1
b. n²
c. n²-1
d. n²+1
Solution:
We have to find the sum of n odd natural numbers.
Natural numbers are a part of the number system, including all the positive integers from 1 to infinity.
Natural numbers are also called counting numbers because they do not include zero or negative numbers.
Odd numbers definition is given as those numbers which cannot be divided into two parts equally.
We know that the sum of first n odd natural numbers is given by n².
Example: Consider 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
Here, n = 10
n² = 10² = 100
Sum of successive odd numbers = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
= 25 + 24 + 32 + 19
= 49 + 32 + 19
= 100
Therefore, the required value is n².
✦ Try This: The sum of first n even natural numbers is a. 2n+1, b. n², c. n(n+1), d. n²+1
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 12
The sum of first n odd natural numbers is, a. 2n+1, b. n², c. n²-1, d. n²+1
Summary:
The sum of the first n odd natural numbers is n²
☛ Related Questions:
visual curriculum