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प्रश्न
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.
उत्तर
Observe the following pattern
1 + 3 = 22
1 + 3 + 5 = 32
1 + 3 × 5 + 7 = 42
and write the value of 1 + 3 + 5 + 7 + 9 + ... upto n terms.
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संबंधित प्रश्न
Find the square of the given number.
93
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
Which of the following number square of even number?
121
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
96
Find a Pythagorean triplet in which one member is 12.
There are ______ natural numbers between n2 and (n + 1)2
The sides of a right triangle whose hypotenuse is 17 cm are ______ and ______.
The sum of two perfect squares is a perfect square.
The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.
