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Consecutive Numbers Trivia Quiz

Consecutive numbers or consecutive integers have some very interesting properties. Are you ready? 1-2-3, let's play the quiz. Enjoy!

A multiple-choice quiz by Matthew_07. Estimated time: 4 mins.

Author
Matthew_07

Time
4 mins

Type
Multiple Choice

Quiz #
289,348

Updated
Dec 03 21

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
1574

One at a Time - Single Page - Timed Game

Question 1 of 10

1. Basically, consecutive numbers are numbers that lie next to each other on the number line. Is the difference of 2 consecutive odd numbers the same as the difference of 2 consecutive even numbers?

Yes

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Question 2 of 10

2. The product of 3 consecutive numbers is always divisible by ___. Hint

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Question 3 of 10

3. If the sum of 2 consecutive odd positive integers is 20, what is the smaller number?

Answer: (1-digit number)

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Question 4 of 10

4. The product of 2 consecutive numbers is always an even number.

Yes

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Question 5 of 10

5. The sum of the first 5 consecutive prime numbers is ___. Hint

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Question 6 of 10

6. It is known that 10 consecutive numbers have a sum of 55. To solve the values of each of these numbers, we use a method from which field of mathematics? Hint

Calculus

Algebra

Geometry

Statistics

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Question 7 of 10

7. The sum of consecutive odd numbers (given that the first term is 1) is always square.

True

False

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Question 8 of 10

8. Choose the WRONG statement. Hint

The difference of any 2 consecutive numbers is always 1.

The sum of any 2 consecutive numbers is always an even number.

The mean of 2 consecutive odd numbers is an even number.

The mean of 2 consecutive even numbers (exclude 0) is an odd number.

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Question 9 of 10

9. The ratio of consecutive ___ numbers converges (approaches) to phi (1.618...). What goes in the blank? Hint

Triangular

Prime

Perfect

Fibonacci

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Question 10 of 10

10. Now a bit of thinking for this question. Can the mean (average) of 2 consecutive prime numbers be a prime number?

Yes

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Quiz Answer Key and Fun Facts

Answer: Yes

The difference of 2 odd numbers is 2, which is also the difference of 2 even numbers. Odd numbers and even numbers appear alternatively on the number line.

2. The product of 3 consecutive numbers is always divisible by ___.

Answer: 6

For example, 1 x 2 x 3 = 6 and 2 x 3 x 4 = 24. Both 6 and 24 are divisible by 6.

3. If the sum of 2 consecutive odd positive integers is 20, what is the smaller number?

Answer: 9

Let the numbers be x and x + 2. Therefore, x + x + 2 = 20. 2x + 2 = 20. 2x = 18. x = 9. The two numbers are 9 and 11.

4. The product of 2 consecutive numbers is always an even number.

Answer: Yes

Given any 2 consecutive numbers, one of them must be odd and the other one is even. The product of an odd number and an even number is always an even number.

5. The sum of the first 5 consecutive prime numbers is ___.

Answer: 28

The first 5 consecutive prime numbers are 2, 3, 5, 7, 11. Their sum is 28, which is a perfect number.

6. It is known that 10 consecutive numbers have a sum of 55. To solve the values of each of these numbers, we use a method from which field of mathematics?

Answer: Algebra

We introduce an unknown, let say x. Then, by using linear algebra, we let x, x + 1, x + 2, ..., x + 9 be those 10 numbers. Then, 10x + 45 = 55. We get x = 1. So the 10 numbers are 1, 2, ..., 10.

7. The sum of consecutive odd numbers (given that the first term is 1) is always square.

Answer: True

The reason is that 1 + 3 + 5 + ... + (2x + 1) = x^2.

8. Choose the WRONG statement.

Answer: The sum of any 2 consecutive numbers is always an even number.

Actually, the sum of any 2 consecutive numbers is always an odd number. For example, 2 + 3 = 5. Given any 2 consecutive numbers, one of them must be odd, and the other must be even. So, their sum must be an odd number.

9. The ratio of consecutive ___ numbers converges (approaches) to phi (1.618...). What goes in the blank?

Answer: Fibonacci

The first few Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13... where each successive term is the sum of the previous two. Phi (1.618...) is also known as the golden ratio.

10. Now a bit of thinking for this question. Can the mean (average) of 2 consecutive prime numbers be a prime number?

Answer: No

Let say the 2 consecutive prime numbers are x and y. Since they are no other prime number between them, their mean is absolutely not a prime number.

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I hope you have fun playing this quiz and learn something new as well. Any comments or feedback are most welcomed. Thanks for playing and have a nice day!

Source: Author Matthew_07

This quiz was reviewed by FunTrivia editor crisw before going online.
Any errors found in FunTrivia content are routinely corrected through our feedback system.

Related Quizzes

This quiz is part of series Fun with Numbers:

A collection of my mathematics quizzes, covering different types of numbers with interesting properties. This list includes composite numbers, consecutive numbers, Fibonacci numbers, palindromic numbers, perfect numbers, prime numbers, square numbers, and triangular numbers.

  1. Composite Numbers Average
  2. Consecutive Numbers Average
  3. Fibonacci Numbers Average
  4. Palindromic Numbers Average
  5. Perfect Numbers Average
  6. Prime Numbers Tough
  7. Square Numbers Average
  8. Triangular Numbers Average

Referenced Topics

Science Math Specific Math Topics Algebra

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