Geometric Sequences - Explicit Formula

​Geometric Sequences-
Explicit Formula

By Kiiettia Jones

​Learning Target… IWBAT identify, extend, and graph geometric sequences.

Success Criteria… I can write geometric sequences as functions and translate between explicit and recursive rules.

Multiple Choice

What does r represent?

• Radical

• Common difference

• Common ratio

Multiple Choice

What does a₁ represent?

• Any term

• First term

• Last term

Multiple Choice

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

Multiple Choice

What is the common ratio?

• -2

• 2

• 4

• Not enough information

Multiple Choice

Write an explicit formula to represent the geometric sequence. Then use the formula to find a_8.

• 64

• 512

• 324

• 640

Multiple Choice

What is the value of the car after 8 years?

• $13,240.00

• $5,033.16

• $2,516.56

• $3,756.25

Multiple Choice

What is the 7th term of the sequence?

• a₇ = 0.128

• a₇ = 0.032

• a₇ = 0.064

• a₇ = 0.256