How to find the common ratio of a geometric sequence

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.

What is the primary operation used to find the difference in an arithmetic sequence?

• Multiplication

• Division

• Subtraction

• Addition

How do you determine if a sequence is geometric?

• By ensuring the difference between terms is constant

• By finding a common ratio between terms

• By checking if the sum of terms is constant

• By checking if the product of terms is constant

What is the common ratio in a geometric sequence if a2 is 14 and a1 is 7?

• 1

• 2

• 3

• 4

In a geometric sequence, if a2/a1 equals 2, what should a3/a2 equal to maintain the sequence?

• 1

• 4

• 2

• 3

What is the significance of verifying the common ratio across multiple terms in a geometric sequence?

• To determine the sequence's length

• To find the sum of the sequence

• To confirm the sequence is geometric

• To ensure the sequence is arithmetic