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Find the Sum of Natural Numbers up to N
Certification: Basic Level
Accuracy: 85.71%
Submissions: 42
Points: 5
Write a Python program that calculates the sum of the first N natural numbers.
Example 1
- Input: N = 10
- Output: 55
- Explanation:
- Step 1: We need to find the sum of numbers from 1 to 10.
- Step 2: Use the formula sum = N * (N + 1) / 2 for the sum of first N natural numbers.
- Step 3: sum = 10 * (10 + 1) / 2 = 10 * 11 / 2 = 110 / 2 = 55
- Step 4: Return the sum: 55
Example 2
- Input: N = 100
- Output: 5050
- Explanation:
- Step 1: We need to find the sum of numbers from 1 to 100.
- Step 2: Use the formula sum = N * (N + 1) / 2 for the sum of first N natural numbers.
- Step 3: sum = 100 * (100 + 1) / 2 = 100 * 101 / 2 = 10100 / 2 = 5050
- Step 4: Return the sum: 5050
Constraints
- 1 ≤ N ≤ 10^9
- Time Complexity: O(1) when using the mathematical formula
- Space Complexity: O(1)
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