Exponential Sequences and Patterns

The video tutorial explores a pattern sequence where each term is double the previous one. It explains how to predict future terms by developing a formula using exponential notation. The tutorial uses a table to break down the calculations and demonstrates how to apply the formula to find any term in the sequence.

What is the next number in the sequence 3, 6, 12, 24?

• 48

• 36

• 60

• 30

What operation is used to find the next term in the sequence?

• Doubling

• Subtraction

• Division

• Addition

What is the 5th term in the sequence if the pattern continues?

• 48

• 72

• 96

• 120

Why is it important to develop a formula for the sequence?

• To easily find any term in the sequence

• To change the sequence pattern

• To find the sum of all terms

• To make the sequence shorter

What is the initial number used in the sequence calculations?

• 24

• 12

• 6

• 3

How many times is the number 2 multiplied to get the 4th term?

• Four times

• Once

• Twice

• Three times

What is the exponential form of the 3rd term in the sequence?

• 3 x 2^3

• 3 x 2^4

• 3 x 2^2

• 3 x 2^1

For term number 10, how many twos are multiplied together?

• 11

• 10

• 8

• 9

What is the power of 2 for term number 205?

• 205

• 204

• 203

• 206

What is the base number used in the exponential notation for the sequence?

• 4

• 3

• 2

• 1