Table of Contents
- 1 How do you find the sum of squares of the first 100 natural numbers in Python?
- 2 How do you write an algorithm to find the sum of two numbers?
- 3 What is the sum of first 100 numbers?
- 4 What is the product of sum and difference of two terms?
- 5 How easy is it to understand an algorithm in natural English?
- 6 What is the difference between the sum of the first ten squares?
How do you find the sum of squares of the first 100 natural numbers in Python?
python program for sum of squares of n natural numbers
- n = int(input(“Enter nth number : “))
- sum = 0.
- while n>0:
- sum = sum + (n*n)
- n = n-1.
- print(“sum of squares is : “,sum)
How do you check if a number is the sum of two squares?
A number can be represented as a sum of two squares precisely when N is of the form n2∏pi where each pi is a prime congruent to 1 mod 4. If the equation a2+1≡a(modp) is solvable for some a, then p can be represented as a sum of two squares.
How do you write an algorithm to find the sum of two numbers?
Answer
- Step 1 : Start.
- Step 2 : Read A,B.
- Step 3 : Sum = A + B.
- Step 4 : Print Sum.
- Step 5 : Stop.
Which of the following is the difference between the squares of two consecutive natural number is?
the difference between the squares of two consecutive natural numbers is the sum of those natural numbers .
What is the sum of first 100 numbers?
5050
100 is 5050. Therefore, the sum of first 100 natural numbers = 5050.
What is the square of sum of first 100 natural numbers?
Sum of Squares of First n Odd Numbers
| Sum of: | Formula |
|---|---|
| Squares of three numbers | x2 + y2+z2 = (x+y+z)2-2xy-2yz-2xz |
| Squares of first ‘n’ natural numbers | Σn2 = [n(n+1)(2n+1)]/6 |
| Squares of first even natural numbers | Σ(2n)2 = [2n(n+1)(2n+1)]/3 |
| Squares of first odd natural numbers | Σ(2n-1)2 =[n(2n+1)(2n-1)]/3 |
What is the product of sum and difference of two terms?
The product of the sum and difference of the same two terms is always the difference of two squares; it is the first term squared minus the second term squared. Thus, this resulting binomial is called a difference of squares.
How do you find the sum of the first n integers?
Of course the best way to find the sum of the first n integers is n ( n + 1) 2. Let N ← the final number in the sum // In your case, it’s 50. Use your high school knowledge. The sum of any series of numbers say N = N* (N+1)/2 e.g. the sum of the first three numbers is 3* (4)/2=6.
How easy is it to understand an algorithm in natural English?
An algorithm is just a set of instructions. Since you didn’t specify a language, I used “natural English” and assumed you were sophisticated enough to be able to follow the fairly high level set of terms and parse them successfully. It’s pretty easy, frankly.
What is the difference between the sum of the first ten natural numbers?
The sum of the squares of the first ten natural numbers is, 1 2 + 2 2 + + 10 2 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + + 10) 2 = 55 2 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find…
What is the difference between the sum of the first ten squares?
The square of the sum of the first ten natural numbers is, (1 + 2 + + 10) 2 = 55 2 = 3025. Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.