Arithmetic and Geometric Sequences Quiz

Identify the 10th term of the arithmetic sequence: 5, 9, 13, 17,…

• 40

• 45

• 50

• 55

What is the sum of the first 15 terms of the arithmetic sequence: 3, 7, 11, 15,…

• 570

• 585

• 600

• 615

Which of the following is a geometric sequence?

• 2, 4, 6, 8, 10

• 3, 9, 27, 81, 243

• 1, 3, 5, 7, 9

• 5, 10, 15, 20, 25

The nth term of a geometric sequence is given by the formula a_n = 5 \times 3^{n-1}. What is the 4th term?

• 45

• 135

• 405

• 1215

What is the 7th term of the arithmetic sequence 10, 15, 20, 25,…

• 35

• 40

• 45

• 50

The sum of the first 12 terms of an arithmetic sequence is 600. If the first term is 10, what is the common difference?

• 5

• 10

• 12

• 15

What is the 5th term of the geometric sequence 2, 6, 18, 54,…?

• 162

• 1620

• 486

• 729

Which of the following scenarios best represents an arithmetic sequence?

• A car’s fuel consumption decreases by 2 liters every 100 kilometers.

• A population grows by 10% each year.

• A savings account earns 5% interest annually.

• A person saves $100 every month for a year.

If the sum of the first 6 terms of a geometric sequence is 364, and the first term is 2, what is the common ratio?

• 3

• 4

• 5

• 6

A sequence is defined by a_n = 2 + 3n. What is the value of a_7?

• 23

• 25

• 27

• 29