Sequence Word Problem

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

A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues.

Viola makes gift baskets for Valentine’s Day. She has 13 baskets left over from last year, and she plans to make 12 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell? (Sequence or Series)

• 193 baskets

• 205 baskets

• 156 baskets

• 181 baskets

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4

• 3

• 2

• 6

What is the 11th term of the geometric sequence?

• -5120

• 97,656,250

• 19,531,250

• -19,531,250

The Wilson family is driving to New York City over Christmas Break. They are 1500 miles away from New York City at the start of their trip. After 30 minutes, they are 1425 miles away. After 1 hour, they are 1350 miles away. Is this sequence Arithmetic? Geometric? Neither?

• Arithmetic

• Geometric

• Neither

The Wilson family is driving to New York City over Christmas Break. They are 1500 miles away from New York City at the start of their trip. After 30 minutes, they are 1425 miles away. After 1 hour, they are 1350 miles away. What is the common difference or ratio?

• Common Ratio : -75

• Common Ratio : 75

• Common Difference : -75

• Common Difference : 75

The Wilson family is driving to New York City over Christmas Break. They are 1500 miles away from New York City at the start of their trip. After 30 minutes, they are 1425 miles away. After 1 hour, they are 1350 miles away. What are the next three terms?

• 1300, 1250, 1200

• 1275, 1200, 1125

• 675, 338, 169

• 1575, 1650, 1725

Mr. Phillips is tracking points in his gaming club on Wednesday afternoons. After the 1st meeting, the club is up to 1000 points. After meeting 2, they are at 2000 points, and meeting 3 they are up to 4000 points. Is this sequence Arithmetic, Geometric, or Neither?

• Geometric

• Arithmetic

• Neither

Mr. Phillips is tracking points in his gaming club on Wednesday afternoons. After the 1st meeting, the club is up to 1000 points. After meeting 2, they are at 2000 points, and meeting 3 they are up to 4000 points. What is the common difference or common ratio?

• Common Difference : 2

• Common Difference : 1000

• Common Ratio : 2

• Common Ratio : 1000