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 in the given geometric sequence?

• 1

• 4

• 3

• 2

What is the common ratio in the geometric sequence discussed?

• 2

• 1/3

• 1/2

• 2/3

Which of the following is needed to find the nth term in a geometric sequence?

• Only the first term

• Neither the first term nor the common ratio

• Only the common ratio

• Both the first term and the common ratio

How do you find the 10th term in a geometric sequence using the formula?

• Divide the first term by 10

• Add 10 to the first term

• Multiply the first term by 10

• Plug in 10 for n

If you want to find the 3000th term, what should you do?

• Plug 3000 into the formula for n

• Use 3000 as the common ratio

• Use 3000 as the first term

• Multiply the first term by 3000