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The sum of the first n natural numbers is given by which formula?

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Question: The sum of the first n natural numbers is given by which formula?

Options:

  1. n(n+1)/2
  2. n^2
  3. n(n-1)/2
  4. n(n+1)/3

Correct Answer: n(n+1)/2

Solution:

The sum of the first n natural numbers is given by the formula n(n+1)/2.

The sum of the first n natural numbers is given by which formula?

Practice Questions

Q1
The sum of the first n natural numbers is given by which formula?
  1. n(n+1)/2
  2. n^2
  3. n(n-1)/2
  4. n(n+1)/3

Questions & Step-by-Step Solutions

The sum of the first n natural numbers is given by which formula?
  • Step 1: Understand what natural numbers are. Natural numbers are the counting numbers: 1, 2, 3, 4, and so on.
  • Step 2: Identify what 'n' represents. 'n' is the total number of natural numbers you want to add together.
  • Step 3: Recognize that you want to find the sum of these numbers: 1 + 2 + 3 + ... + n.
  • Step 4: Learn the formula for the sum of the first n natural numbers, which is n(n + 1) / 2.
  • Step 5: Use the formula by plugging in the value of n to find the sum.
  • Sum of Natural Numbers – The formula for the sum of the first n natural numbers is derived from the arithmetic series and is expressed as n(n+1)/2.
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