The sum of the first 50 integers is 1275.
Understanding the Calculation
This sum can be calculated using a simple formula for the sum of an arithmetic series:
-
Formula: n(n+1)/2, where 'n' is the number of terms (in this case, 50).
-
Calculation: 50(50+1)/2 = 50 * 51 / 2 = 1275
This formula efficiently calculates the sum without needing to add each number individually. Multiple sources confirm this result:
- Vedantu explicitly states: "The sum of the first fifty natural numbers is 1275."
- Testbook uses the formula and arrives at the same answer: "Sum of 50 natural numbers = 50 × 51/2 = 1275".
- Numerous other online resources (GMAT Club, Algebra.com, Quora) also corroborate this solution within the context of similar problems.
Therefore, the definitive answer remains consistent across various sources.
