The Sum of First 100 Even Natural Number is

Can you solve this problem? What is the sum of the first 100 even natural numbers? Below will be a detailed explanation for your easy reference.

The sum of the first 100 even natural numbers is

The problem states that the sum of the first 100 even natural numbers is 10100.

Let’s examine how the algorithm is used

Sum of the first 100 even numbers

2+4+6+8+10+12—-+200

First period = 2, last period = 200, n=100

100/2(2+200) = 50 x 202

Answer = 10100.

How to solve math problems?

Check out the following methods 1. Understand the problem

Read the problem carefully: Make sure you fully understand what is required.
Identify key information: Look for numbers, variables, and relationships between them.
Identify the unknown: Figure out what you need to find or solve.

2. Make a plan

Strategic decisions: Choose the approach that best fits the problem, such as:
- Algebra (for equations)
- Geometry (for shape, area, volume)
- Arithmetic (for basic calculations)
- Word problems (to apply math to real-life situations)
Break down complex problems: If the problem seems complicated, break it down into smaller, more manageable parts.

3. Convert the problem into mathematical form

For equations: Write any equation or expression that represents the situation.
For word problems: Determine unknown variables, convert the problem into an equation or set of equations.
For geometry problems: Draw a diagram to help visualize the problem.

4. Solve problems

Follow the chosen method:
- Algebra: Solve equations step by step, isolating variables.
- Geometry: Use formulas to calculate area, volume, perimeter, etc
- Word problems: Apply correct calculations to the situation (addition, subtraction, multiplication, division).
Simplify when necessary: Simplify expressions or solve equations.

5. Check your work

Substitute your answer back: If possible, substitute your answer back to the original problem to verify that it satisfies all conditions.
Review calculations: Double check for any mathematical errors.

6. Write the final answer

State your solution: Include units if applicable (e.g. meters, dollars, etc.).
Double-check: Make sure the answer makes sense and makes sense in the context of the problem.

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