Given the first term and ratio determine the first five terms of a geometric sequence

The video tutorial explains how to find the first five terms of a geometric sequence. Starting with a given first term of 24, the process involves multiplying by a common ratio of 1/3 to find each subsequent term. The tutorial walks through the calculations step-by-step, demonstrating how to derive each term in the sequence, ultimately arriving at the fifth term. The explanation is clear and methodical, ensuring that viewers understand the concept of geometric sequences and how to apply the ratio to find terms.

What is the primary operation used to find the next term in a geometric sequence?

• Division

• Addition

• Subtraction

• Multiplication

If the first term of a geometric sequence is 24 and the ratio is 1/3, what is the second term?

• 12

• 8

• 16

• 24

What is the third term in the sequence if the first term is 24 and the ratio is 1/3?

• 8/3

• 24/3

• 8

• 1/3

How do you calculate the fourth term in the sequence given the third term is 8/3 and the ratio is 1/3?

• Add 1/3 to 8/3

• Multiply 8/3 by 3

• Divide 8/3 by 3

• Multiply 8/3 by 1/3

What is the fifth term in the sequence if the fourth term is 8/9 and the ratio is 1/3?

• 1/27

• 8/3

• 8/27

• 8/9