Arithmetic and Geometric Sequence Word Problems

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?

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

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

Which type of sequence is shown in the graph?

Determine if the situation can be represented by an arithmetic or geometric sequence.

Seeds cost $1.20 be packet. The cost for 1 packet, 2 packets, 3 packets and so on. ​ (a)  

The value of a baseball card is increasing by 2% every year. ​ (b)  

Interest on a Student Loan is 3% compounded bi-annually. ​ (c)  

The first 3 terms in the sequence are ​ (d)  

You earn $20 a week for allowance. ​ (e)  

Calculate the sum of the first 15 terms of the arithmetic sequence where $$a_1 = 7$$ and $$d = 3$$ .

Which type of sequence is shown in the graph?

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

Explain how you could use a graphing calculator to determine whether the data in the table to the right represents a geometric sequence.

f(4) = 33 and f(10) = 57. Write a recursive rule for this if the sequence is arithmetic.