Given the ratio and first term of a geometric sequence write the rule for nth term

The video tutorial explains how to write the rule for the NTH term of a geometric sequence. It covers identifying the first term (a sub 1) and the common ratio (R), and how to use these components in the formula to determine the NTH term. The tutorial provides a step-by-step guide to understanding and applying the formula effectively.

What is the first step in writing the rule for the Nth term of a geometric sequence?

• Identify the common ratio

• Determine the first term

• Calculate the Nth term directly

• Find the sum of the sequence

In the given problem, what is the value of the first term?

• 1/32

• 1/64

• 1/16

• 1/8

What is the common ratio in the problem discussed?

• 2

• 1/2

• -1/2

• -2

How do you express the Nth term using the first term and the common ratio?

• 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)

What is the final step in writing the rule for the Nth term?

• Subtract the common ratio from the first term

• Plug the known values into the formula

• Add the first term to the common ratio

• Multiply the first term by the common ratio