Geometric Progression Quiz

Geometric Progression Quiz fans might enjoy this little gem—if you fold a piece of paper just 42 times, it can reach the moon. Sounds wild, but that’s the magic of exponential growth, and geometric progressions explain exactly how that’s possible. Each fold doubles the thickness, just like each GP term multiplies. This quiz keeps things fun and bite-sized with problems that follow similar logic. You’ll work through GP questions, spot patterns, and maybe even fold your way to math glory. It’s not just theory—geometric progression MCQs with step-by-step solutions make sure you don’t get stuck. Ideal for anyone tackling geometric progression problems with solutions step by step, especially students looking for clarity and confidence.

Geometric Progression

Which of the following is a geometric progression (GP)?

2, 4, 6, 8

3, 6, 12, 24

1, 2, 4, 7

10, 20, 31, 45

If the 1st term of a G.P. is 5 and the 3rd term is 45, what is the common ratio?

√3

If the common ratio is ½ and the first term is 64, what is the 5th term?

In a G.P., the second term is 10 and the fourth term is 90. What is the common ratio?

√3

-9

What is the sum of the first 3 terms of a G.P. with a = 2 and r = 4?

If the product of the first three terms of a G.P. is 216 and the common ratio is 3, what is the first term?

√216

The sum of the first 2 terms of a G.P. is 8 and the sum of the first 3 terms is 26. What is the common ratio?

3, 3/4

-3, -3/4

-3, 3/4

3, -3/4

If a G.P. has a common ratio of -1, what can you say about its terms?

All terms are positive

Terms alternate in sign

Terms increase steadily

All terms are same

Which of these terms can not appear in a G.P. with a = 3 and r = 2?

What is the ratio of the 6th term to the 3rd term in a G.P. with r = 2?

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Sample Questions from This Quiz

If the common ratio is ½ and the first term is 64, what is the 5th term?
What is the sum of the first 3 terms of a G.P. with a = 2 and r = 4?
If the product of the first three terms of a G.P. is 216 and the common ratio is 3, what is the first term?
If a G.P. has a common ratio of -1, what can you say about its terms?
What is the ratio of the 6th term to the 3rd term in a G.P. with r = 2?

Try the full quiz and see how many of these you can answer!