Advertisements
Advertisements
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.
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Find the square of the given number.
71
What will be the units digit of the square of the following number?
12796
Observe the following pattern
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) = \frac{2 \times 3 \times 4}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) = \frac{3 \times 4 \times 5}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) + \left( 4 \times 5 \right) = \frac{4 \times 5 \times 6}{3}\]
and find the value of(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)
The sum of first n odd natural numbers is ______.
If m is the square of a natural number n, then n is ______.
There are ______ natural numbers between n2 and (n + 1)2
All numbers of a pythagorean triplet are odd.
Write two Pythagorean triplets each having one of the numbers as 5.
The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.
