How to write nth term of a geometric sequence given 1st term and ratio

The video tutorial explains how to determine the Nth term of a geometric sequence. It starts by introducing the basic concepts of geometric sequences, including the first term and the common ratio. The tutorial then demonstrates how to calculate subsequent terms by multiplying by the ratio. It introduces the general rule for finding the Nth term, which involves using the first term and the ratio raised to the power of N-1. The video concludes by applying this rule to find specific terms in the sequence, such as the 10th or 3000th term.

What is the first term of the geometric sequence mentioned in the text?

How do you find the next term in a geometric sequence?

What is the general rule for finding the NTH term in a geometric sequence?

If the first term is 3 and the ratio is 1/2, what would be the 10th term in the sequence?

Explain how to calculate the 3000th term in the geometric sequence.