How to find the common ratio of a geometric sequence

How to find the common ratio of a geometric sequence

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the difference between arithmetic and geometric sequences. It starts by discussing arithmetic sequences, where the difference between terms is constant. The focus then shifts to geometric sequences, where the common ratio between terms is constant. The tutorial demonstrates how to calculate the common ratio by dividing consecutive terms and verifying consistency across the sequence. The example used shows a common ratio of 2, confirming the sequence is geometric.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to determine if a sequence is geometric?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the common ratio in a geometric sequence?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean if the common ratio is consistent across the terms?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to verify if a ratio is correct using the terms of the sequence.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn if the ratio is found to be 2?

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