Question

What is the common difference of the arithmetic sequence graphed below?

1, 3, 5, 7, 9, 11

A) 1
B) 2
C) 3
D) 4

Answer 1

The common difference of the arithmetic sequence is 2.

Step-by-step explanation:

The common difference of an arithmetic sequence is the constant difference between consecutive terms. In the given sequence, the terms are increasing by 2 each time.

• 1 + 2 = 3
• 3 + 2 = 5
• 5 + 2 = 7
• 7 + 2 = 9
• 9 + 2 = 11

Therefore, the common difference is 2. Answer choice B) 2 is the correct option.