Write the nth term rule for a geometric sequence

The video tutorial explains how to find the NTH term of a geometric sequence. It begins by introducing the concept of the NTH term and the sequence values. The tutorial then guides viewers on identifying the first term and the common ratio of the sequence. It demonstrates how to calculate the ratio by dividing a term by its previous term and using the reciprocal. Finally, the tutorial shows how to apply these values in the formula to determine the NTH term of the sequence.

What is the primary purpose of finding the Nth term in a geometric sequence?

• To identify the first term of the sequence

• To calculate the average of the sequence

• To find any term in the sequence without listing all previous terms

• To determine the sum of the sequence

In a geometric sequence, what does the first term (a1) represent?

• The initial value from which the sequence starts

• The average of the sequence

• The sum of all terms

• The last term in the sequence

How is the common ratio (R) in a geometric sequence typically calculated?

• By adding the first and second terms

• By multiplying the first and second terms

• By dividing the second term by the first term

• By subtracting the first term from the second term

What is the formula for finding the Nth term in a geometric sequence?

• a_n = a_1 - R^(n-1)

• a_n = a_1 / R^(n-1)

• a_n = a_1 * R^(n-1)

• a_n = a_1 + R^(n-1)

If the first term of a geometric sequence is 1/6 and the common ratio is 2, what is the 3rd term?

• 1

• 1/3

• 1/2

• 2/3