Mini-Celebration on Exponential Functions and Sequences

What type of function is $f\left(x\right)=2\left(\frac{1}{7}\right)^x$ ?

• Exponential Growth

• Linear

• Exponential Decay

• Quadratic

Which equation matches the graph?

• $y=2\left(2\right)^x$

• $y=2\left(\frac{1}{2}\right)^x$

• $y=2x$

• $y=\frac{1}{2}\left(2\right)^x$

What type of function is y = 7(3)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Create the explicit formula for the sequence:

2, 8, 14, ...

(Hint: Write your formula and then simplify it.)

• $a_n=2+6n$ , $n\ge1$

• $a_n=-6+6n,\ n\ge1$

• $a_n=6n-4,\ n\ge1$

• $a_n=4-6n,\ n\ge1$

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1(r)

• a_n = a₁ + d(n-1)

• a_n = a₁(r)^n-1

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3
• a_n = 5(3)^n-1
• a_n = 3(5)^n-1
• a_n = 5 + (n-1)3

Tags

CCSS.HSF.BF.A.2

Which sequence is represented by the equation
a_n = 2(7)^n-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Tags

CCSS.HSF.BF.A.2

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E