Arithmetic & Geometric Sequences Day 2

Arithmetic & Geometric Sequences Day 2

Multiple Choice

Is this sequence arithmetic, geometric, or neither?

{26, 22, 18, 14, ...}

• Arithmetic

• Geometric

• Neither

Fill in the Blanks

What is the common difference?

{26, 22, 18, 14, ...}

Fill in the Blanks

What is the common difference in this sequence?

{48, 32, 16, 0, ... }

Multiple Choice

Arithmetic or Geometric or Neither?

{96, 48, 24, 12, ... }

• Arithmetic

• Geometric

• Neither

Fill in the Blanks

What is the common ratio in this sequence?

{96, 48, 24, 12, ... }

Fill in the Blanks

What is the common difference/common ratio for this sequence?

-6, -1, 4, 9...

Multiple Choice

Arithmetic, Geometric or Neither?

5, 25, 125, 625...

• Arithmetic

• Geometric

• Neither

Fill in the Blanks

What is the common difference/common ratio of the geometric sequence below?

5, 25, 125, 625...

Multiple Choice

Given the recursive formula, find the first four terms:

a_n = 3⋅a_n-1

a₁ = 45

• 45, -135, 405, -1215

• 45, 135, 405, 1215

• -45, -135, -405, -1215

• 45, 42, 39, 36

Multiple Choice

A sequence is defined by the recursive rule

a₁ = -4

a_n = a_n-1 + 5

What is the 3rd term of the sequence?

• 8

• 7

• 11

• 6

Lets take notes on Explicit Formulas!

Fill in the Blanks

Write the explicit formula for the arithmetic sequence: 18, 20, 22, 24,... do not use spaces. a_n=

Fill in the Blanks

Write the explicit formula for the arithmetic sequence: -10, -3, 4, 11, ... do not use spaces. a_n =

Fill in the Blanks

Write the explicit formula for the arithmetic sequence: -15, -5, 5, 15,... do not use spaces. a_n=

Multiple Choice

What is the explicit formula for the geometric sequence: 8, 16, 32, 64,...

• a_n=4(2ⁿ)

• a_n=2(4ⁿ)

• a_n=2n+4

Multiple Choice

What is the explicit formula for the geometric sequence: -2, 10, -50, 250,-1250,...?

• a_n= - 5(2/5ⁿ)

• a_n= - 2/5(-5ⁿ)

• a_n= 2/5(-5ⁿ)

• a_n= 5(2/5ⁿ)

Multiple Choice

What is the explicit formula for the geometric sequence: 11, 22, 44, 88,...

• a_n= 2(11/2ⁿ)

• a_n= 2(11ⁿ)

• a_n= 11(2ⁿ)

• a_n= 11/2(2ⁿ)