Geometric Sequences and Patterns

What is the fifth term of the geometric sequence?

5, 15, 45,...

What do we call this sequence: 6,18,54,162,…

What is the initial value for the following sequence; 3, 9, 27, 81 (a)  

What is the rule for this sequence?

2, 4, 8, 16, 32...............

Given the following exponential equation, what is is the multiplier?

$$y=4\left(.5\right)^x$$

Given the following exponential equation, what is the output when x = -2?

$$y=4\left(.5\right)^x$$

(a)  

Write an equation for the following table:

Given the following geometric pattern, what is the y value when x = 1?

(a)  

Graph the equation $$y=2\left(4\right)^x$$ in Desmos and identify 3 points on the graph: