Math Problem Statement
what a solution 1+2+3+... +198+199+200=? show your solution
Solution
To solve the sum , we can use the formula for the sum of the first natural numbers:
In this problem, , so we can substitute into the formula:
Simplifying this:
Thus, the sum is .
Would you like more details or have any questions?
Here are 8 related questions for further exploration:
- What is the sum of the first 100 natural numbers?
- How would you find the sum of all even numbers from 2 to 200?
- Can you prove the formula using induction?
- What is the sum of the first 200 odd numbers?
- How would you calculate the sum of squares of the first 200 natural numbers?
- How does the sum formula change if the sequence starts from a number other than 1?
- What is the sum of the first multiples of a given number?
- How would you approach finding the sum ?
Tip: For large sums or sequences, look for patterns or use known formulas to simplify calculations.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Arithmetic
Summation
Formulas
Sum of first n natural numbers: S_n = n(n+1)/2
Theorems
-
Suitable Grade Level
Grades 7-9