Applying the recursive formula to a geometric sequence

The video tutorial explains how to write the first four terms of a geometric sequence using a recursive formula. The instructor demonstrates the process by plugging in values to find each term sequentially, starting from the first term. The tutorial concludes with the calculation of the fourth term and a brief summary of the sequence.

What is the main task described in the video tutorial?

• To write the first four terms of a geometric sequence

• To solve a quadratic equation

• To find the sum of an arithmetic series

• To calculate the derivative of a function

What is the value of the first term (a1) in the sequence?

• 3

• 6

• 9

• 12

How is the second term (a2) calculated from the first term?

• By multiplying by -3/2

• By adding 3

• By dividing by 2

• By subtracting 1

What is the value of the third term (a3) in the sequence?

• 18

• 9

• 27

• 13.5

What is the final value of the fourth term (a4) in the sequence?

• 15.75

• 30.75

• 25.5

• 20.25