Geometric Sequences and Their Terms

This video tutorial explains how to solve a SAT math question involving a geometric sequence. It starts with a first term of two and grows exponentially by a factor of three. The tutorial guides viewers through calculating the first five terms of the sequence and finding the sum of the fourth and fifth terms, which is the solution to the problem.

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

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.BF.A.2

In a geometric sequence, how do you find the next term?

• Add a constant to the previous term

• Multiply the previous term by a constant

• Subtract a constant from the previous term

• Divide the previous term by a constant

Tags

CCSS.HSF.BF.A.2

What is the second term in the sequence if the first term is 2 and the factor is 3?

• 8

• 5

• 7

• 6

Tags

CCSS.HSF.BF.A.2

What is the third term in the sequence?

• 12

• 21

• 15

• 18

Tags

CCSS.HSF.BF.A.2

How do you calculate the fourth term in the sequence?

• Multiply the third term by 3

• Multiply the third term by 2

• Add 3 to the third term

• Subtract 3 from the third term

Tags

CCSS.HSF.BF.A.2

What is the value of the fourth term in the sequence?

• 54

• 48

• 60

• 36

Tags

CCSS.HSF.BF.A.2

What is the fifth term in the sequence?

• 180

• 144

• 108

• 162

Tags

CCSS.HSF.BF.A.2

What is the sum of the fourth and fifth terms?

• 200

• 210

• 216

• 220

Tags

CCSS.HSF.BF.A.2