Given the first term and ratio find the nth term of a geometric sequence

The video tutorial explains how to find the 15th term of a geometric sequence with a first term of 20 and a common ratio of 1.05. It covers the formula for geometric sequences, emphasizing the importance of the order of operations. The tutorial concludes with a discussion on common mistakes students make, such as incorrect application of the order of operations.

What is the first term of the geometric sequence discussed in the video?

• 10

• 20

• 25

• 15

What is the common ratio of the geometric sequence in the problem?

• 1.10

• 1.05

• 1.02

• 1.15

Which formula is used to find the nth term of a geometric sequence?

• a_n = a_1 + (n-1) * d

• a_n = a_1 * r^(n-1)

• a_n = a_1 / r^(n-1)

• a_n = a_1 * n^r

What is the correct order of operations to solve the problem?

• Subtract first, then raise to the power

• Raise to the power first, then multiply

• Multiply first, then raise to the power

• Add first, then multiply

What is the 15th term of the geometric sequence calculated in the video?

• 35.60

• 37.60

• 39.60

• 41.60