Geometric and Arithmetic Sequences

The video tutorial explains how to find the values of x and y in both arithmetic and geometric sequences. It begins with an arithmetic sequence, detailing the process of finding the common difference and using it to calculate x and y. The tutorial then transitions to a geometric sequence, explaining how to determine the common ratio and use it to find x and y. The video includes verification steps to ensure the calculations are correct.

What is the first step in setting up an arithmetic sequence?

• Identifying the first term and common difference

• Calculating the sum of terms

• Determining the last term

• Finding the common ratio

How do you express the third term in an arithmetic sequence?

• a sub zero plus d

• a sub zero plus three d

• a sub zero plus four d

• a sub zero plus two d

What is the value of x in the arithmetic sequence?

• 630/3

• 635/3

• 625/3

• 620/3

How do you verify the value of y in the arithmetic sequence?

• By dividing x by the common difference

• By multiplying x by the common difference

• By subtracting the common difference from x

• By adding the common difference to x

What is the first step in setting up a geometric sequence?

• Identifying the first term and common ratio

• Finding the common difference

• Calculating the sum of terms

• Determining the last term

How do you express the third term in a geometric sequence?

• a sub zero times r squared

• a sub zero times r cubed

• a sub zero times r

• a sub zero times r to the fourth

What is the value of the common ratio r in the geometric sequence?

• 5

• 3

• 4

• 6

What is the value of x in the geometric sequence?

• 30

• 25

• 20

• 15

What is the value of y in the geometric sequence?

• 120

• 100

• 110

• 125

How can you verify the value of y in the geometric sequence?

• By multiplying x by the common ratio

• By dividing x by the common ratio

• By subtracting the common ratio from x

• By adding the common ratio to x