Learning to find the ratio of a geometric sequence

The video tutorial explains how to identify the common ratio in a geometric sequence without needing to calculate it between every pair of terms. It demonstrates that the common ratio can be found by dividing the second term by the first term. The tutorial emphasizes the importance of maintaining a consistent common ratio and explains the process of multiplying fractions to verify this consistency. The example used shows a geometric sequence with a common ratio of -1/4, highlighting how the terms decrease in size.

What is the simplified method to find the common ratio in a sequence?

• Divide the second term by the first term

• Add the first and second terms

• Multiply the first term by the second term

• Divide the first term by the second term

Why is it important to ensure the fraction for the common ratio remains consistent?

• To maintain the sequence as arithmetic

• To avoid using decimals

• To simplify calculations

• To ensure the sequence remains geometric

What is equivalent to multiplying by -1/4?

• Dividing by 4

• Dividing by -4

• Multiplying by 4

• Adding 1/4

What is the result of multiplying -3/4 by -1/4?

• Positive 3/16

• Negative 3/16

• Positive 1/16

• Negative 1/16

What type of sequence is described if the common ratio is consistent?

• Harmonic sequence

• Geometric sequence

• Fibonacci sequence

• Arithmetic sequence