Math Problem Statement
Sum of first n natural numbers
Solution
The sum of the first natural numbers is given by the formula:
Where:
- is the sum of the first natural numbers,
- is the number of terms.
Example:
For :
So, the sum of the first 5 natural numbers is 15.
Would you like a further explanation or to try an example with a different value of ?
Related questions:
- What is the sum of the first 100 natural numbers?
- How does this formula come about?
- Can this formula be used for non-natural numbers (like fractions)?
- How does the formula change for odd or even numbers only?
- What is the sum of the first 50 even numbers?
Tip: Using this formula makes it easier to find the sum without having to add each term individually!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Series
Natural Numbers
Summation
Formulas
S_n = n(n + 1) / 2
Theorems
Sum of an arithmetic series
Suitable Grade Level
Grades 5-7