Arithmetic and Geometric Sequences with Word Problems

Which type of sequence is shown in the graph?

• Arithmetic

• Geometric

• Neither

Which sequence type, and common ratio/difference is correct for the table?

• arithmetic

  common ratio = 2

• geometric

  common ratio = 2

• arithmetic

  common difference = 2

• geometric

  common difference = -2

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

• $10

• $300

• $162

• $416

The local power company plans to raise rates to cover the increased cost of producing power. They determine the costs will increase by 4.2% per year for the next 10 years. If you paid a total of $1031.60 for power last year, what would you expect to pay for power over the next 10 years? 
(Hint: Find a₁, a₁₀, and r)

• $13,020.97

• $10,316.00

• $2,704.97

• $12,220.97

• 315

• 330

• 345

• 360

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

Find the explicit formula for the sequence shown in the graph.

Which type of sequence is shown in the graph?

• Arithmetic

• Geometric

• Neither

The graph of an arithmetic sequence is ​ ​ (a)   and the graph of a geometric sequence is ​ (b)   .

• linear

• exponential

Match the following for the prompt: A bacteria colony starts with 5 bacteria and triples every hour.

• Initial value

• Recursive equation

• 5

• Explicit equation

• 3

• Common ratio