Understanding the Sum of Positive Integers
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the method used in the previous video to prove the sum of integers formula?
Induction
Algebraic manipulation
Trial and error
Graphical representation
Tags
CCSS.HSA.APR.C.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the current video?
To prove the formula using induction
To introduce a new formula
To show a simpler proof without induction
To discuss the history of the formula
Tags
CCSS.HSF.BF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function S(n) defined?
As the difference of integers up to n
As the product of integers up to n
As the average of integers up to n
As the sum of all positive integers up to and including n
Tags
CCSS.7.EE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of rewriting the sum in reverse order?
To simplify the calculation
To change the result
To confuse the reader
To make it more complex
Tags
CCSS.7.EE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding the terms 1 + n, 2 + (n-1), etc.?
n + 1
2n
n
n - 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many n + 1 terms are there in the sum?
n - 1
n
n + 1
2n
Tags
CCSS.8.EE.C.7B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for the sum of integers up to n?
n(n - 1)/2
n(n + 2)/2
n^2/2
n(n + 1)/2
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