Math Problem Statement
Use the properties of summation and the Summation Formulas Theorem to evaluate the sum: Σ (from i = 1 to 10) of 8.
Solution
The summation shown in the image is:
This represents a constant sum, where the value "8" is added for each value of from 1 to 10. Since 8 is a constant, you can simply multiply 8 by the number of terms in the summation.
The number of terms is from to , so there are 10 terms.
Thus, the sum is:
Would you like any further details, or do you have any other questions?
Here are 5 related questions to expand on this:
- What is a general formula for the sum of a constant over terms?
- How does the summation change if the constant is not 8 but any other number?
- Can you explain the difference between summing a constant and summing a variable term?
- How does this concept apply when summing arithmetic series or geometric series?
- What would happen if the lower limit of summation changed from 1 to another number, like 5?
Tip: When dealing with constant summations, the sum is always the product of the constant and the number of terms in the summation.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Summation
Algebra
Formulas
Summation of constants: Σ c = c * n
Theorems
Summation Formula Theorem
Suitable Grade Level
Grades 7-9