Geometric Sequences Trivia Questions Quiz

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Courtney Frank
C
Courtney Frank
Community Contributor
Quizzes Created: 45 | Total Attempts: 16,379
| Attempts: 428 | Questions: 5
Please wait...
Question 1 / 5
0 %
0/100
Score 0/100
1. Determine which sequence is geometric.

Explanation

The sequence -3, -6, -12, -24, ... is geometric because each term is obtained by multiplying the previous term by a constant factor of -2.

Submit
Please wait...
About This Quiz
Geometric Sequences Trivia Questions Quiz - Quiz

Explore the world of geometric sequences with this engaging quiz! Test your ability to identify, calculate, and analyze geometric sequences through practical examples. Perfect for enhancing mathematical skills... see moreand understanding sequence patterns. see less

2. What is the 7th term of the geometric sequence: 3 over 64 comma space fraction numerator minus 3 over denominator 16 end fraction comma space 3 over 4 comma space minus 3 comma space...

Explanation

The given sequence is a geometric sequence where each term is obtained by multiplying the previous term by a constant factor. In this case, the common ratio is -4. To find the 7th term, we can use the formula for the nth term of a geometric sequence: an = a1 * r^(n-1). Plugging in the values, we get a7 = -48 * (-4)^(7-1) = -48 * (-4)^6 = -48 * 4096 = -196,608. However, this answer does not match any of the given options. Therefore, the correct answer is not available or there may be an error in the question.

Submit
3. Find the next two terms of the geometric sequence 50, 40, 32, ...

Explanation

The given geometric sequence is obtained by multiplying each term by 0.8. To find the next term, we multiply the last term (32) by 0.8, resulting in 25.6. To find the term after that, we again multiply by 0.8, giving us 20.48. Therefore, the next two terms of the geometric sequence are 25.6 and 20.48.

Submit
4. The 15th term of a geometric sequence is 32,768.  Which choice shows the possible first term and the possible common ratio? 

Explanation

In a geometric sequence, each term is found by multiplying the previous term by a constant value called the common ratio. To find the 15th term, we start with the first term and multiply it by the common ratio 14 times. Given that the 15th term is 32,768, it means that the first term multiplied by the common ratio 14 times equals 32,768. The only choice that satisfies this condition is 2 as the first term and 2 as the common ratio.

Submit
5. Find the fifth term in a sequence in which the first term is 3 and the common ratio is -4.

Explanation

The given sequence is a geometric sequence with a first term of 3 and a common ratio of -4. To find the fifth term, we can use the formula for the nth term of a geometric sequence: an = a1 * r^(n-1). Plugging in the values, we get a5 = 3 * (-4)^(5-1) = 3 * (-4)^4 = 3 * 256 = 768. Therefore, the fifth term in the sequence is 768.

Submit
View My Results

Quiz Review Timeline (Updated): Jan 15, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 15, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 20, 2015
    Quiz Created by
    Courtney Frank
Cancel
  • All
    All (5)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
Determine which sequence is geometric.
What is the 7th term of the geometric sequence:
Find the next two terms of the geometric sequence 50, 40, 32, ...
The 15th term of a geometric sequence is 32,768.  Which choice...
Find the fifth term in a sequence in which the first term is 3 and the...
Alert!

Advertisement