Exponential Equations and Sequences

The video tutorial teaches how to write exponential equations from tables or sequences. It explains the importance of identifying the zero term and common ratio, providing examples with both increasing and decreasing sequences. The tutorial also covers how to find the zero term when it's not directly visible in the table and how to create exponential equations from sequences. The lesson concludes with a summary of the key points.

What is the primary focus of the lesson on exponential equations?

• Graphing polynomial functions

• Solving quadratic equations

• Writing exponential equations from a table or sequence

• Understanding linear functions

In the generic form of an exponential function, what does 'a' represent?

• The x-intercept

• The zero term or y-intercept

• The highest power of x

• The slope of the line

How is the common ratio in an exponential function determined?

• By adding consecutive y-values

• By subtracting consecutive x-values

• By dividing a number by the one before it

• By multiplying consecutive x-values

In the first example, what is the common ratio found in the table?

• 1

• 3

• 2

• 5

What is the zero term in the first example?

• 12

• 2

• 6

• 3

In the second example, what is the common ratio?

• 4

• 3

• 2

• 5

What is the zero term in the second example?

• 5

• 50

• 2

• 10

In the third example, what is the common ratio when the values are decreasing?

• 1/5

• 1/4

• 1/2

• 1/3

What is the zero term in the third example?

• 3

• 9

• 27

• 81

In the fourth example, how is the zero term found when it is not visible?

• By adding the common ratio

• By subtracting the common ratio

• By dividing the first term by the common ratio

• By multiplying the first term by the common ratio