Math Problem Statement
1 + 2 + 3 + ++10=55, ( 11 + 12 + 13 +...........+20)
Solution
It seems there might be some confusion in the equation you've written. I'll clarify it for you.
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The expression "1 + 2 + 3 + ++10 = 55" is likely a mistake. If you meant to add the numbers from 1 to 10, the correct equation should be:
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For the second part, you want to find the sum of the numbers from 11 to 20. The sum of an arithmetic series is given by the formula: where is the number of terms.
Here, the first term is 11, the last term is 20, and the number of terms is:
Substituting these into the formula, we get:
So, the sum of the numbers from 11 to 20 is 155.
Would you like more details on this, or do you have any questions?
Here are 5 related questions for you to consider:
- What is the sum of the numbers from 21 to 30?
- How would you find the sum of the first 50 natural numbers?
- What is the sum of all even numbers between 1 and 100?
- How do you determine the number of terms in a sequence when the first and last terms are known?
- Can you find the sum of the squares of the numbers from 1 to 10?
Tip: When working with arithmetic sequences, remember that the sum can be quickly calculated using the formula .
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Summation
Arithmetic Series
Formulas
Sum of an arithmetic series formula
Theorems
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Suitable Grade Level
Grades 7-9