Arithmetic and Geometric Sequences

Which of the following is an example of an arithmetic sequence?

• 4, 8, 16, 32, 64

• 1, 2, 4, 7, 11

• 15, 13, 11, 9, 7

• 3, 6, 12, 24, 48

Which of the following is the correct formula in finding the nth term of an arithmetic sequence?

• a_n = a₁ + (n - 1)d

• a_n = a₁ + (n + 1)d

• a_n = a₁ - (n - 1)d

• a_n = a₁ +- (n + 1)d

The difference between two terms in an arithmetic sequence is called ___________________.

• Formula

• Common Ratio

• Common Difference

• Common Factor

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

• 31 and 37

• 31 and 36

• 30 and 37

• 30 and 36

In the sequence 9, 18, 27, 36 and so on, what is the common difference?

• 5

• 7

• 9

• 11

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic
• Geometric
• Neither

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

• 1,250
• 5
• 10
• 50

What does a₁ represent?

• Any term

• First term

• Last term

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1 _{What is the common ratio(r) of the sequence?}

• ²

• ¹⁰

• ²⁰

• 2ⁿ

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

• -6

• -14

• -22

• -30