Math Problem Statement
1 + 2 + 3 + 4 + 5 + .... + 50 = ?
Solution
The image shows the sum:
This is an arithmetic series, where the first term , the last term , and the number of terms . The formula for the sum of an arithmetic series is:
Substituting the known values:
So, the sum is 1275.
Would you like further details or clarifications?
Here are 5 related questions:
- What is the general formula for an arithmetic sequence?
- How would the sum change if the sequence ended at 100 instead of 50?
- How do you determine the common difference in an arithmetic series?
- What is the difference between an arithmetic series and a geometric series?
- How would you approach the sum of an infinite arithmetic series?
Tip: For large arithmetic series, knowing the first and last term helps you compute the sum much faster!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Series
Summation
Formulas
Sum of an arithmetic series: S_n = (n/2) * (a + l)
Theorems
Arithmetic series summation
Suitable Grade Level
Grades 6-8