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.

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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.

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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).

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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.

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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.

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