Exponential Growth and Sequences

The video tutorial covers identifying geometric sequences, calculating terms in sequences, and understanding constant sequences. It also explores real-world applications like subscriber growth and plant coverage using geometric sequences. Additionally, it explains scaling in geometry and finding equivalent expressions in exponents.

Which of the following sequences is geometric?

• 9.99, 8.99, 7.99, 6.99

• 1, 3, 5, 7

• 1/3, 1, 3, 9

• 2, 4, 7, 11

What is the common ratio in the sequence 2, 8, 32?

• 4

• 3

• 5

• 2

How is the sequence 1, 200, 40, 8 classified?

• Both

• Neither

• Geometric

• Arithmetic

A blogger's subscribers grow by a factor of 1.5 each month. If she starts with 400, how many subscribers will she have after one month?

• 700

• 800

• 600

• 500

After three months, how many subscribers will the blogger have?

• 900

• 1200

• 1050

• 1350

Why is the sequence 1, 1, 1, 1 not considered exponential?

• It has a growth factor greater than 1

• It increases over time

• It decreases over time

• It has a growth factor of 1

What is the growth factor of an exponential sequence?

• Less than 1

• Greater than 1

• 1

• 0

In 2000, an invasive plant covered 2% of an island. If it triples each year, what percentage does it cover in 2001?

• 4%

• 6%

• 8%

• 10%

By 2005, what percentage of the island is covered by the plant?

• 60%

• 30%

• 40%

• 48.6%

A square picture with a side of 30 cm is scaled by 60%. What is the side length after the first scaling?

• 30 cm

• 24 cm

• 18 cm

• 12 cm