Advertisements
Advertisements
प्रश्न
Find the square of the following number:
405
Advertisements
उत्तर
Here n = 40
\[\therefore\] n(n + 1) = (40)(41) = 1640
\[\therefore\] 4052 = 164025
APPEARS IN
संबंधित प्रश्न
Find the square of the given number.
86
What will be the units digit of the square of the following number?
53924
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
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
992 − 962
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
12 + 22 + 32 + 42 + ... + 102
Which of the following number square of even number?
324
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
54
The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is ______.
The sum of first n odd natural numbers is ______.
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
