15.Important Series Sum Flashcards
1
Q
What is the sum of the first n natural numbers?
A
The sum of the first n natural numbers is given by the formula: S = n * (n + 1) / 2.
2
Q
What is the sum of the first n odd numbers?
A
The sum of the first n odd numbers is given by the formula: S = n^2.
3
Q
What is the sum of the first n even numbers?
A
The sum of the first n even numbers is given by the formula: S = n * (n + 1).
4
Q
What is the sum of the squares of the first n natural numbers?
A
The sum of the squares of the first n natural numbers is given by the formula: S = n * (n + 1) * (2n + 1) / 6.
5
Q
What is the sum of the cubes of the first n natural numbers?
A
The sum of the cubes of the first n natural numbers is given by the formula: S = [n * (n + 1) / 2]^2.
