Exponential Functions and Sequences

The video tutorial explains exponential functions based on a recursive rule. It starts with a base value and multiplies by a growth factor to find subsequent terms. The growth factor is identified as 2, and the starting value is 4. The tutorial demonstrates how to form an exponential equation using these values and calculates terms by repeatedly applying the growth factor. The exponential function is expressed as 4 * 2^X, where X represents the term number.

What is the recursive rule used to define the exponential function in the video?

• a_n = a_(n-1) / 2

• a_n = a_(n-1) - 2

• a_n = a_(n-1) + 2

• a_n = a_(n-1) * 2

What is the starting value used in the exponential function discussed?

• 2

• 16

• 4

• 8

What is the growth factor in the exponential function described in the video?

• 1

• 2

• 3

• 4

How is the next term calculated in the sequence?

• By multiplying the previous term by 2

• By adding 2 to the previous term

• By dividing the previous term by 2

• By subtracting 2 from the previous term

What is the value of the third term in the sequence starting with 4?

• 64

• 32

• 16

• 8

What is the general form of the exponential function derived in the video?

• f(x) = 4 * 2^x

• f(x) = 2 * 4^x

• f(x) = 2 + 4^x

• f(x) = 4 + 2^x

In the exponential function f(x) = 4 * 2^x, what does the 'x' represent?

• The term number

• The growth factor

• The constant multiplier

• The starting value