Find a formula for the sum of the first n natural numbers. Assume that the formulais a quadratic polynomial in n.
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:
- Let's denote the sum of the first n natural numbers as S. So, S = 1 + 2 + 3 + ... + n.
- Now, let's write this sum backwards, i.e., S = n + (n-1) + (n-2) + ... + 1.
- 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
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)