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प्रश्न
The sum of first n odd natural numbers is ______.
विकल्प
2n + 1
n2
n2 – 1
n2 + 1
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उत्तर
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
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संबंधित प्रश्न
Find the square of the given number.
32
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
1002 − 992
Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]and find the values of following:
31 + 32 + ... + 50
Which of the following number square of even number?
121
Which of the following number square of even number?
225
Which of the following number square of even number?
1296
Find the square of the following number:
575
Find the square of the following number:
512
All numbers of a pythagorean triplet are odd.
Write two Pythagorean triplets each having one of the numbers as 5.
