Test Your Knowledge About Summmation
We use the summation technique all the time, we need it when we calculate a budget at the end of the month or again, when we go shopping. Overall, it is defined as the addition of a sequence of numbers, where their results is the sum of total. So, are you ready to try our quiz?
- 1.
What's the equivalent of the word summation in the Greek Alphabet?
- A.
Sigma
- B.
Alpha
- C.
Gamma
- D.
Delta
Correct Answer
A. SigmaExplanation
The Greek letter equivalent to the word "summation" is Sigma. In the Greek alphabet, Sigma is the eighteenth letter and is commonly used to represent the mathematical symbol for summation (∑). This symbol is used to denote the sum of a series of numbers or variables. Therefore, Sigma is the correct answer as it directly corresponds to the concept of summation.Rate this question:
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- 2.
What are the natural numbers?
- A.
Those used for evaluating.
- B.
Those used for measuring.
- C.
Those used for counting and ordering.
- D.
Those used for counting.
Correct Answer
C. Those used for counting and ordering.Explanation
The natural numbers are a set of numbers that are used for counting and ordering. They include all positive integers starting from 1 and do not include any fractions, decimals, or negative numbers. Counting refers to the process of determining the quantity of objects or entities, while ordering refers to arranging the numbers in a specific sequence or pattern. Therefore, the natural numbers are specifically used for both counting and ordering purposes.Rate this question:
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- 3.
What's an ellipsis?
- A.
It is a series of numbers that usually indicates an intentional omission of a word.
- B.
It is a series of dots that usually indicates a word.
- C.
It usually indicates an intentional omission of a word.
- D.
It is a series of dots that usually indicates an intentional omission of a word.
Correct Answer
D. It is a series of dots that usually indicates an intentional omission of a word.Explanation
An ellipsis is a series of dots that is used to indicate an intentional omission of a word. It is commonly used in writing to show that something has been left out or to create a pause in speech. The series of dots is a visual representation of the missing word or words, allowing the reader or listener to understand that something has been intentionally omitted.Rate this question:
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- 4.
What's a mathematical induction?
- A.
It is an addition technique
- B.
It is a multiplication technique
- C.
It is a proof technique
- D.
It is a division technique
Correct Answer
C. It is a proof techniqueExplanation
Mathematical induction is a proof technique used to prove statements about natural numbers or other well-ordered sets. It involves two steps: the base case, where the statement is proven to hold for a specific value, and the induction step, where it is proven that if the statement holds for one value, it also holds for the next value. By using this technique, mathematical statements can be proven to be true for an infinite number of cases.Rate this question:
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- 5.
What's a finite difference?
- A.
It is a mathematical expression of the form f(x+b)-f(x+a)
- B.
It is a mathematical expression of the form (x+b)-(x+a)
- C.
It is a mathematical expression of the form (x+b) + (x+a)
- D.
It is a mathematical expression of the form f(x+b)
Correct Answer
A. It is a mathematical expression of the form f(x+b)-f(x+a)Explanation
A finite difference is a mathematical expression that represents the difference between two values of a function, where the values are taken at different points in the domain. In this case, the correct answer is "It is a mathematical expression of the form f(x+b)-f(x+a)". This expression represents the difference between the function values at two points, x+b and x+a, respectively. By subtracting the function value at x+a from the function value at x+b, we obtain the finite difference.Rate this question:
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- 6.
What's the definite of an image in mathematics?
- A.
It is a subset of a codomain of the function from a subset of its domain.
- B.
It is a subset of a function codomain of the function.
- C.
It is a subset of a codomain of the function from a subset of its domain
- D.
It is a subset of a function codomain of the function from a subset of its domain.
Correct Answer
D. It is a subset of a function codomain of the function from a subset of its domain.Explanation
The definition of an image in mathematics is a subset of the function's codomain that is obtained by mapping elements from a subset of its domain to the codomain.Rate this question:
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- 7.
What's the Greek letter Sigma?
- A.
It is the 18th letter of the Greek alphabet.
- B.
It is a secret formula.
- C.
It is a Roman letter.
- D.
It is the last letter of the Greek alphabet.
Correct Answer
A. It is the 18th letter of the Greek alphabet.Explanation
The Greek letter Sigma is the 18th letter of the Greek alphabet.Rate this question:
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- 8.
What's the other name for an empty sum?
- A.
0 sum
- B.
Nullary sum
- C.
Non existent sum
- D.
The voided sum
Correct Answer
B. Nullary sumExplanation
A nullary sum refers to an empty sum, where there are no elements to add together. It is called nullary because it represents the absence of any operands or values. In this case, the sum is non-existent or voided because there are no numbers to sum up. Therefore, the correct answer is "Nullary sum."Rate this question:
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- 9.
What's a measure in mathematics?
- A.
It is a systematic way to assign a number to a suitable subset of a given set.
- B.
It is a way to assign a number to a suitable subset of a given set.
- C.
It is a way to assign a number to a subset of a given set.
- D.
It is a systematic way to assign a technique to a suitable subset of a given set.
Correct Answer
A. It is a systematic way to assign a number to a suitable subset of a given set.Explanation
A measure in mathematics is a systematic way to assign a number to a suitable subset of a given set. This means that a measure provides a consistent and structured method for assigning numerical values to specific subsets of a set. It allows for the quantification and comparison of different subsets within a set, enabling mathematical analysis and reasoning.Rate this question:
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- 10.
What's a Riemann sum?
- A.
It's an improvement of an integral by a finite sum.
- B.
It's an approximation of an integral.
- C.
It's an approximation of an integral by a finite sum.
- D.
It's an integral.
Correct Answer
C. It's an approximation of an integral by a finite sum.Explanation
A Riemann sum is a method used to approximate the value of an integral by dividing the interval into smaller subintervals and evaluating the function at specific points within each subinterval. The sum of these evaluations multiplied by the width of each subinterval gives an approximation of the integral. Therefore, the correct answer is "It's an approximation of an integral by a finite sum."Rate this question:
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Current Version
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Mar 18, 2023Quiz Edited by
ProProfs Editorial Team -
May 20, 2018Quiz Created by
Anouchka
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