Evaluate for the nth term of a sequence given the ratio and first term in a geometric

The video tutorial explains how to find the NTH term in a geometric sequence. It begins by introducing the problem and identifying the sequence as geometric. The formula for a geometric sequence is explained, followed by a step-by-step calculation of the tenth term. The process involves calculating powers and simplifying the expression to reach the final result. The tutorial concludes with the final answer and a brief off-topic comment.

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 * n^r

In the given problem, what is the value of the first term (a_1)?

• 1/2

• 10

• 4

• 2

What is the common ratio (r) in the sequence discussed?

• 1/2

• 10

• 4

• 2

What is the value of 2 raised to the 9th power?

• 256

• 128

• 1024

• 512

What is the final simplified result of the 10th term in the sequence?

• 1/128

• 1/256

• 1/1024

• 1/512