Find a formula for the sum of the first n natural numbers. Assume that the formulais a quadratic polynomial in n.

Question

Find a formula for the sum of the first n natural numbers. Assume that the formulais a quadratic polynomial in n.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The formula for the sum of the first n natural numbers is given by the formula:

S = n/2 * (n + 1)

Here's how we derive it:

  1. Let's denote the sum of the first n natural numbers as S. So, S = 1 + 2 + 3 + ... + n.
  2. Now, let's write this sum backwards, i.e., S = n + (n-1) + (n-2) + ... + 1.
  3. If Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Find a formula for the sum of the first n natural numbers. Assume that the formulais a quadratic polynomial in n.

Find a quadratic polynomial each with the given numbers as the sum and product of zeroes respectively:

Sum of the squares of first n natural numbers exceeds their sum by 330, then n =

How many of the first n natural numbers must be added to produce a sum of 4,950.

What is the time complexity of calculating the sum of the first n natural numbers using a loop?Group of answer choicesO(n^2)O(1)O(log n)O(n)

1/3