What Do You Know About Proizvolov's Identity?
When it comes to mathematical expressions or equations, Proizvolov's identity is described as the identity that deals with the summation of the difference of the integers that are positive. The identity was discovered by Vyacheslav Proizvolov and has been used to solve numerous mathematical problems. We will like to test your knowledge about this theorem in this short quiz.
- 1.
When was the theorem discovered?
- A.
1976
- B.
1985
- C.
1987
- D.
1990
Correct Answer
B. 1985 -
- 2.
Where was the theorem discovered?
- A.
Soviet Student Olympiads
- B.
1985 Olympic Games
- C.
Great Britain Theater
- D.
Soviet Union Square
Correct Answer
A. Soviet Student OlympiadsExplanation
The theorem was discovered during the Soviet Student Olympiads.Rate this question:
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- 3.
For Proizvolov's identity, what is S equal to?
- A.
N^2
- B.
N^3
- C.
2n
- D.
N-2
Correct Answer
A. N^2Explanation
Proizvolov's identity states that S is equal to n^2. This means that the value of S is obtained by squaring the value of n.Rate this question:
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- 4.
When n=2, what is S equal to?
- A.
8
- B.
0
- C.
4
- D.
6
Correct Answer
C. 4Explanation
When n=2, the value of S can be determined by substituting n=2 into the equation or expression given in the question. However, since the equation or expression is not provided, it is not possible to determine the value of S. Therefore, an explanation for the correct answer is not available.Rate this question:
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- 5.
When n=3, what is S equal to?
- A.
6
- B.
27
- C.
9
- D.
1
Correct Answer
C. 9Explanation
When n=3, the value of S can be calculated by substituting 3 into the equation. S = n^2, so S = 3^2 = 9.Rate this question:
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- 6.
When n = 4, what is S equal to?
- A.
16
- B.
8
- C.
2
- D.
64
Correct Answer
A. 16Explanation
When n = 4, the value of S is equal to 16.Rate this question:
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- 7.
When n = 5, what is S equal to?
- A.
10
- B.
25
- C.
3
- D.
125
Correct Answer
B. 25Explanation
When n = 5, the value of S is equal to 25.Rate this question:
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- 8.
When n = 9, what is S equal to?
- A.
81
- B.
18
- C.
7
- D.
27
Correct Answer
A. 81Explanation
When n = 9, the value of S can be calculated by squaring n. So, S = 9^2 = 81.Rate this question:
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- 9.
When n = 10, what is S equal to?
- A.
100
- B.
1000
- C.
8
- D.
20
Correct Answer
A. 100 -
- 10.
When n = 121, what is S equal to?
- A.
40.3
- B.
102
- C.
60.5
- D.
11
Correct Answer
D. 11Explanation
When n = 121, the value of S is equal to 11.Rate this question:
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Current Version
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Mar 18, 2023Quiz Edited by
ProProfs Editorial Team -
Jul 12, 2018Quiz Created by
AdeKoju
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