Math Problem Statement
What is the sum of all natural numbers from 1 to 40
Solution
The sum of all natural numbers from 1 to 40 can be found using the formula for the sum of an arithmetic series:
Where:
- is the number of terms (in this case, 40),
- is the first term (which is 1),
- is the last term (which is 40).
Substitute the values:
So, the sum of all natural numbers from 1 to 40 is 820.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the sum of all natural numbers from 1 to 100?
- How do you calculate the sum of even numbers from 1 to 40?
- What is the sum of odd numbers from 1 to 40?
- How can you derive the formula for the sum of an arithmetic series?
- What is the sum of the first 50 terms of the sequence 3, 6, 9, 12,...?
Tip: You can use the same arithmetic series formula to sum consecutive numbers or any regularly spaced sequence.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Series
Summation of Natural Numbers
Formulas
Sum of an arithmetic series: S_n = (n/2) × (a + l)
Theorems
Arithmetic Series Theorem
Suitable Grade Level
Grades 6-8