Advertisements
Advertisements
Question
The sum of first n odd natural numbers is ______.
Options
2n + 1
n2
n2 – 1
n2 + 1
Solution
The sum of first n odd natural numbers is n2.
Explanation:
Sum of first n odd natural numbers
= `sum(2n - 1) = 2sumn - n`
= `(2 xx n(n + 1))/2 - n`
= n(n + 1) – n
= n2 + n – n
= n2
APPEARS IN
RELATED QUESTIONS
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1112 − 1092
Which of the following triplet pythagorean?
(14, 48, 51)
Which of the following number square of even number?
5476
Which of the following number square of even number?
373758
Find the square of the following number:
575
Find the square of the following number:
995
The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is ______.
The sum of two perfect squares is a perfect square.
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
