Understanding Arithmetic and Geometric Sequences

The video tutorial explains how to identify geometric sequences by determining the common ratio. It starts with a brief review of arithmetic sequences and then focuses on calculating the common ratio by dividing consecutive terms. The tutorial emphasizes that if the ratio is consistent across terms, the sequence is geometric. The example provided shows a sequence with a common ratio of 2, confirming it as geometric. The video concludes with a summary of the process for identifying geometric sequences.

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

• Addition

• Subtraction

• Division

• Multiplication

In a geometric sequence, what must be consistent across all terms?

• The sum of terms

• The common ratio

• The difference between terms

• The product of terms

How do you determine if a sequence is geometric?

• By checking if the sum of terms is constant

• By ensuring the difference between terms is the same

• By verifying the common ratio is consistent

• By calculating the average of terms

What is the common ratio if a2 is 14 and a1 is 7?

• 2

• 1

• 4

• 3

If a sequence has a common ratio of 2, what is the next term after 14?

• 30

• 28

• 18

• 16

What confirms that a sequence is geometric in the given example?

• The sum of terms is equal

• The product of terms is the same

• The difference between terms is constant

• The common ratio is consistent across terms